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Deepening of theory of function spaces from real and harmonic analysis and its application

Research Project

Project/Area Number 15H03621
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionIbaraki University

Principal Investigator

Nakai Eiichi  茨城大学, 理工学研究科(理学野), 教授 (60259900)

Co-Investigator(Kenkyū-buntansha) 水田 義弘  広島大学, 先進理工系科学研究科(理), 名誉教授 (00093815)
西垣 誠一  沼津工業高等専門学校, 教養科, 嘱託教授 (10180598)
堀内 利郎  茨城大学, 理工学研究科(理学野), 教授 (80157057)
曾布川 拓也  早稲田大学, グローバルエデュケーションセンター, 教授 (60252946)
貞末 岳  大阪教育大学, 教育学部, 准教授 (40324884)
米田 剛  東京大学, 大学院数理科学研究科, 准教授 (30619086)
澤野 嘉宏  東京都立大学, 理学研究科, 准教授 (40532635)
倉坪 茂彦  弘前大学, 理工学研究科, 研究員 (50003512)
藤間 昌一  茨城大学, 理学部, 准教授 (00209082)
宮地 晶彦  東京女子大学, 現代教養学部, 教授 (60107696)
Project Period (FY) 2015-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥16,900,000 (Direct Cost: ¥13,000,000、Indirect Cost: ¥3,900,000)
Fiscal Year 2019: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2018: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2016: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2015: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Keywords実解析 / 調和解析 / 関数空間 / 積分作用素 / 変動指数 / 平均振動量 / 掛算作用素
Outline of Final Research Achievements

Real and harmonic analysis used to be studied based on function spaces in which functions have the uniform property with respect to integrability and continuity. Since 2000, function spaces with variable exponents have attracted a lot of attention in connection with electrorheological fluids. Moreover, function spaces with variable growth conditions have also been introduced and studied, and it has become clear that those are in close connection.
However, there are still also a lot of developing parts. Then we investigate properties of various function spaces and prove the boundedness and compactness of several operators to deepen the theory of the new function spaces.

Academic Significance and Societal Importance of the Research Achievements

これまで研究されてきた古典的な関数空間には、実解析・調和解析で開発されてきた様々な工夫の蓄積と、偏微分方程式等への広範な応用を持っている。
本研究では、上述の背景をもとに、位置に応じて関数の可積分性や連続性、振動・増大度が変動する関数空間の最新の研究成果を取り入れ、これまで長年にわたって多くの数学者により研究が積み重ねられてきた実解析・調和解析の理論を、変動する指標をもつ関数空間の視点から深化させ、応用範囲のより広い理論へと発展させた。

Report

(6 results)
  • 2020 Final Research Report ( PDF )
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (189 results)

All 2021 2020 2019 2018 2017 2016 2015 Other

All Int'l Joint Research (15 results) Journal Article (59 results) (of which Int'l Joint Research: 21 results,  Peer Reviewed: 59 results,  Open Access: 37 results,  Acknowledgement Compliant: 5 results) Presentation (109 results) (of which Int'l Joint Research: 52 results,  Invited: 48 results) Book (1 results) Remarks (2 results) Funded Workshop (3 results)

  • [Int'l Joint Research] Beijing Normal University/Nankai University(中国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] University of Leipzig(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Beijing Normal University(中国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Bandung Institute of Technology/Jenderal Soedirman University(インドネシア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Ahi Evran University/Dumlupinar University(トルコ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Peoples Friendship University of Russia(ロシア連邦)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] University of Notre Dame(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Xiamen University(中国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Bandung Institute of Technology/Jenderal Soedirman University(インドネシア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] Beijing Normal University/Xiamen University(中国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] RUDN University,(ロシア連邦)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Cardiff University(英国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Bandung Institute of Technology/Jenderal Soedirman University(インドネシア)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Beijing Normal University/Xiamen University/Zhejiang University of Technology(中国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Universitat Leipzig(ドイツ)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Generalized fractional integral operators on Orlicz-Hardy spaces2020

    • Author(s)
      Arai Ryutaro、Nakai Eiichi、Sawano Yoshihiro
    • Journal Title

      Mathematische Nachrichten

      Volume: 294 Issue: 2 Pages: 224-235

    • DOI

      10.1002/mana.201900052

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces2020

    • Author(s)
      Shi Minglei、Arai Ryutaro、Nakai Eiichi
    • Journal Title

      Banach Journal of Mathematical Analysis

      Volume: 15 Issue: 1

    • DOI

      10.1007/s43037-020-00094-7

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Campanato-Morrey spaces for the double phase functionals2020

    • Author(s)
      Mizuta Yoshihiro、Nakai Eiichi、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Revista Matematica Complutense

      Volume: 33 Issue: 3 Pages: 817-834

    • DOI

      10.1007/s13163-019-00332-z

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Campanato-Morrey spaces for the double phase functionals with variable exponents2020

    • Author(s)
      Mizuta Yoshihiro、Nakai Eiichi、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Nonlinear Analysis

      Volume: 197 Pages: 111827-111827

    • DOI

      10.1016/j.na.2020.111827

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fractional integrals and their commutators on martingale Orlicz spaces2020

    • Author(s)
      R. Arai, E. Nakai and G.Sadasue
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 487 Issue: 2 Pages: 123991-123991

    • DOI

      10.1016/j.jmaa.2020.123991

    • NAID

      120006888247

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pointwise multipliers on weak Orlicz spaces2020

    • Author(s)
      Kawasumi Ryota、Nakai Eiichi
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 50 Issue: 2 Pages: 169-184

    • DOI

      10.32917/hmj/1595901625

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pointwise Multipliers on Weak Morrey Spaces2020

    • Author(s)
      Kawasumi Ryota、Nakai Eiichi
    • Journal Title

      Analysis and Geometry in Metric Spaces

      Volume: 8 Issue: 1 Pages: 363-381

    • DOI

      10.1515/agms-2020-0119

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] One dimensional weighted Hardy's inequalities and application2020

    • Author(s)
      Liu Xiaojing、Horiuchi Toshio、Ando Hiroshi
    • Journal Title

      Journal of Mathematical Inequalities

      Volume: 14 Issue: 4 Pages: 1203-1222

    • DOI

      10.7153/jmi-2020-14-78

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Homogeneous Besov spaces2020

    • Author(s)
      Sawano Yoshihiro
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 60 Issue: 1 Pages: 1-43

    • DOI

      10.1215/21562261-2019-0038

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Boundary growth of Sobolev functions for double phase functionals2020

    • Author(s)
      Y. Mizuta and T. Shimomura
    • Journal Title

      Academia Scientiarum Fennica Mathematica

      Volume: 45 Issue: 1 Pages: 279-292

    • DOI

      10.5186/aasfm.2020.4510

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Boundedness of maximal operators on Herz spaces with radial variable exponent2020

    • Author(s)
      Mizuta Yoshihiro、Shimomura Tetsu
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 72 Issue: 3 Pages: 335-348

    • DOI

      10.2748/tmj/1601085619

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Compact Commutators of Calderon-Zygmund and Generalized Fractional Integral Operators with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces2019

    • Author(s)
      ARAI Ryutaro、NAKAI Eiichi
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 42 Issue: 2

    • DOI

      10.3836/tjm/1502179285

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Complex interpolation of the predual of Morrey spaces over measure spaces2019

    • Author(s)
      Burenkov Victor I.、Hakim Denny I.、Nakai Eiichi、Sawano Yoshihiro、Sobukawa Takuya、Tararykova Tamara V.
    • Journal Title

      Georgian Mathematical Journal

      Volume: 0 Issue: 3 Pages: 341-348

    • DOI

      10.1515/gmj-2019-2070

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Ccmmutators of fractional integrals2019

    • Author(s)
      E. Nakai and G. Sadasue
    • Journal Title

      Mathematical Inequalities & Applications

      Volume: 22 Issue: 2 Pages: 631-655

    • DOI

      10.7153/mia-2019-22-44

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized Fractional Integral Operators and Their Commutators with Functions in Generalized Campanato Spaces on Orlicz Spaces2019

    • Author(s)
      Shi Minglei、Arai Ryutaro、Nakai Eiichi
    • Journal Title

      Taiwanese Journal of Mathematics

      Volume: 23 Issue: 6

    • DOI

      10.11650/tjm/181211

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind2019

    • Author(s)
      Fatih Deringoz, Vagif S. Guliyev, Eiichi Nakai, Yoshihiro Sawano and Minglei Shi
    • Journal Title

      Positivity

      Volume: 23 Issue: 3 Pages: 727-757

    • DOI

      10.1007/s11117-018-0635-9

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Generalized Campanato spaces with variable growth condition2019

    • Author(s)
      Nakai Eiichi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B74

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Kato&apos;s inequalities for admissible functions to quasilinear elliptic operators <i>A </i>2019

    • Author(s)
      Toshio Horiuchi, Xiaojing Liu
    • Journal Title

      Mathematical Journal of Ibaraki University

      Volume: 51 Issue: 0 Pages: 49-64

    • DOI

      10.5036/mjiu.51.49

    • NAID

      130007687047

    • ISSN
      1343-3636, 1883-4353
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Kato's inequalities up to the boundary for a quasilinear operator2019

    • Author(s)
      Horiuchi Toshio, Kumlin Peter
    • Journal Title

      Scientiae Mathematicae Japonicae Online

      Volume: 2019

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On the Strichartz estimates for orthonormal systems of initial data with regularity2019

    • Author(s)
      Bez Neal、Hong Younghun、Lee Sanghyuk、Nakamura Shohei、Sawano Yoshihiro
    • Journal Title

      Advances in Mathematics

      Volume: 354 Pages: 106736-106736

    • DOI

      10.1016/j.aim.2019.106736

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Complex interpolation and Calderon-Mityagin couples of Morrey spaces2019

    • Author(s)
      Mieczyslaw Mastylo and Yoshihiro Sawano
    • Journal Title

      Analysis and PDE

      Volume: 12 Issue: 7 Pages: 1711-1740

    • DOI

      10.2140/apde.2019.12.1711

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A thought on generalized Morrey spaces2019

    • Author(s)
      Sawano Yoshihiro
    • Journal Title

      Journal of the Indonesia Mathematical Society

      Volume: 25 Pages: 210-281

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] MARTINGALE BESOV SPACES AND MARTINGALE TRIEBEL-LIZORKIN SPACES2019

    • Author(s)
      Gaku Sadasue
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: 82 Issue: 1 Pages: 57-82

    • DOI

      10.32219/isms.82.1_57

    • NAID

      130007681532

    • ISSN
      1346-0447
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Applications of Campanato spaces with variable growth condition to the Navier-Stokes equation2019

    • Author(s)
      Nakai Eiichi、Yoneda Tsuyoshi
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 48

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Maximal and fractional integral operators on generalized Morrey spaces over metric measure spaces2018

    • Author(s)
      Idha Sihwaningrum, Hendra Gunawan, Eiichi Nakai
    • Journal Title

      Mathematische Nachrichten

      Volume: 291 Issue: 8-9 Pages: 1400-1417

    • DOI

      10.1002/mana.201600350

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] THE HARDY AND HEISENBERG INEQUALITIES IN MORREY SPACES2018

    • Author(s)
      GUNAWAN HENDRA、HAKIM DENNY IVANAL、NAKAI EIICHI、SAWANO YOSHIHIRO
    • Journal Title

      Bulletin of the Australian Mathematical Society

      Volume: 97 Issue: 3 Pages: 480-491

    • DOI

      10.1017/s0004972717001216

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sobolev's inequalities for Herz-Morrey-Orlicz spaces on the half space2018

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno, Tetsu Shimomura
    • Journal Title

      Math. Inequal. Appl.

      Volume: 21 Issue: 2 Pages: 433-453

    • DOI

      10.7153/mia-2018-21-30

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A predual of a predual of Bσ and its applications to commutators2018

    • Author(s)
      Sawano Yoshihiro、Yoshida Hiroko
    • Journal Title

      Science China Mathematics

      Volume: 61 Issue: 8 Pages: 1437-1472

    • DOI

      10.1007/s11425-017-9187-3

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The equivalences among p-capacity, p-Laplace-capacities and Hausdorff measure.2018

    • Author(s)
      Liu Xiaojing、Horiuchi Toshio
    • Journal Title

      Mathematical Journal of Ibaraki University

      Volume: 50

    • NAID

      130007465434

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Continuity of the solution map of the Euler equations in Holder spaces and weak norm inflation in Besov spaces2018

    • Author(s)
      Misiolek Gerard、Yoneda Tsuyoshi
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 370 Issue: 7 Pages: 4709-4730

    • DOI

      10.1090/tran/7101

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Uniform boundedness of Kantorovich operators in Morrey spaces2018

    • Author(s)
      Burenkov Victor、Ghorbanalizadeh Arash、Sawano Yoshihiro
    • Journal Title

      Positivity

      Volume: 22 Issue: 4 Pages: 1097-1107

    • DOI

      10.1007/s11117-018-0561-x

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces2018

    • Author(s)
      Y. Sawano, T. Shimomura
    • Journal Title

      Georgean Math. J.

      Volume: 25 Issue: 2 Pages: 303-312

    • DOI

      10.1515/gmj-2018-0018

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Commutators of Calderon-Zygmund and generalized fractional integral operators on generalized Morrey spaces2018

    • Author(s)
      Arai Ryutaro、Nakai Eiichi
    • Journal Title

      Revista Matematica Complutense

      Volume: 31 Issue: 2 Pages: 287-331

    • DOI

      10.1007/s13163-017-0251-4

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On inclusion relation between weak Morrey spaces and Morrey spaces2018

    • Author(s)
      Gunawan Hendra、Hakim Denny Ivanal、Nakai Eiichi、Sawano Yoshihiro
    • Journal Title

      Nonlinear Analysis

      Volume: 168 Pages: 27-31

    • DOI

      10.1016/j.na.2017.11.005

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Pointwise Multipliers on BMO Spaces with Non-doubling Measures2018

    • Author(s)
      Li Wei、Nakai Eiichi、Yang Dongyong
    • Journal Title

      Taiwanese Journal of Mathematics

      Volume: 22 Issue: 1 Pages: 183-203

    • DOI

      10.11650/tjm/8140

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Sobolev inequalities for Musielak-Orlicz spaces2018

    • Author(s)
      Yoshihiro Mizuta, Takao Ohno and Tetsu Shimomura
    • Journal Title

      Manuscripta Math.

      Volume: 155 Issue: 1-2 Pages: 209-227

    • DOI

      10.1007/s00229-017-0944-5

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Growth properties of potentials in central Morrey-Orlicz spaces on the unit ball2018

    • Author(s)
      Mizuta Yoshihiro、Ohno Takao、Shimomura Tetsu
    • Journal Title

      Annales Academiae Scientiarum Fennicae Mathematica

      Volume: 43 Pages: 21-46

    • DOI

      10.5186/aasfm.2018.4302

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Variable exponent weighted norm inequality for generalized Riesz potentials2018

    • Author(s)
      Maeda Fumi-Yuki、Mizuta Yoshihiro、Shimomura Tetsu
    • Journal Title

      Annales Academiae Scientiarum Fennicae Mathematica

      Volume: 43 Pages: 563-577

    • DOI

      10.5186/aasfm.2018.4336

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] New function spaces related to Morrey spaces and the Fourier transform2018

    • Author(s)
      Nakamura Shohei、Sawano Yoshihiro
    • Journal Title

      Banach Journal of Mathematics

      Volume: 12 Issue: 1 Pages: 1-30

    • DOI

      10.1215/17358787-2017-0014

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain2017

    • Author(s)
      Kishimoto Nobu、Yoneda Tsuyoshi
    • Journal Title

      Mathematische Annalen

      Volume: - Issue: 1-2 Pages: 743-779

    • DOI

      10.1007/s00208-017-1605-4

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pointwise multipliers on Musielak-Orlicz-Morrey spaces2017

    • Author(s)
      Nakai, Eiichi
    • Journal Title

      Function spaces and inequalities, Springer Proceedings in Mathematics & Statistics

      Volume: 206

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition2017

    • Author(s)
      Eiichi Nakai
    • Journal Title

      Science China Mathematics

      Volume: 60 Issue: 11 Pages: 2219-2240

    • DOI

      10.1007/s11425-017-9154-y

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces2017

    • Author(s)
      Eiichi Nakai and Gaku Sadasue
    • Journal Title

      Mathematical Inequalities & Applications

      Volume: 20 Issue: 4 Pages: 929-947

    • DOI

      10.7153/mia-2017-20-58

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Some new properties concerning BLO martingales2017

    • Author(s)
      Nakai Eiichi、Sadasue Gaku
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 69

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pointwise multipliers on several function spaces -- a survey --2017

    • Author(s)
      Eiichi Nakai
    • Journal Title

      Linear and Nonlinear Analysis

      Volume: 3

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Complex interpolation of B sigma-spaces2017

    • Author(s)
      Hakim Denny Ivanal、Nakamura Shohei、Sawano Yoshihiro、Sobukawa Takuya
    • Journal Title

      Complex variables and elliptic equations

      Volume: 63 Issue: 4 Pages: 569-590

    • DOI

      10.1080/17476933.2017.1327954

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Various inequalities related to the Adams inequality on weighted Morrey spaces2017

    • Author(s)
      Iida Takeshi
    • Journal Title

      Mathematical Inequalities & Applications

      Volume: 20 Issue: 3 Pages: 601-650

    • DOI

      10.7153/mia-20-42

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on the Fefferman-Stein inequality on Morrey spaces2017

    • Author(s)
      Iida Takeshi、Nakamura Shohei
    • Journal Title

      Revista Matematica Complutense

      Volume: 30 Issue: 3 Pages: 525-545

    • DOI

      10.1007/s13163-016-0217-y

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pointwise multipliers on Musielak-Orlicz spaces2016

    • Author(s)
      Eiichi Nakai
    • Journal Title

      Nihonkai Mathematical Journal

      Volume: 27

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] $B_w^u$-function spaces and their interpolation2016

    • Author(s)
      Eiichi Nakai and Takuya Sobukawa
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: 39

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Characterizations of variable exponent Hardy spaces via Riesz transforms2016

    • Author(s)
      Dachun Yang, Ciqiang Zhuo and Eiichi Nakai
    • Journal Title

      Revista Matematica Complutense

      Volume: 29 Issue: 2 Pages: 245-270

    • DOI

      10.1007/s13163-016-0188-z

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Duality of Herz-Morrey Spaces of Variable Exponent2016

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Filomat

      Volume: 30 Issue: 7 Pages: 1891-1898

    • DOI

      10.2298/fil1607891m

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Remarks on Kato's inequality when $\Delta_p u$ is a measure2016

    • Author(s)
      Xiaojing Liu and Toshio Horiuchi
    • Journal Title

      Mathematical Journal of Ibaraki University

      Volume: 48

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Remarks on the strong maximum principle involving p-Laplacian2016

    • Author(s)
      Xiaojing Liu and Toshio Horiuchi
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 46

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces2016

    • Author(s)
      Denny Ivanal Hakim, Eiichi Nakai and Yoshihiro Sawano
    • Journal Title

      Revista Matematica Complutense

      Volume: 29 Issue: 1 Pages: 59-90

    • DOI

      10.1007/s13163-015-0178-6

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Caffarelli-Kohn-Nirenberg 型不等式とその周辺2016

    • Author(s)
      堀内利郎
    • Journal Title

      数学

      Volume: 68

    • NAID

      130006321022

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Wavelet characterization and modular inequalities for weighted Lebesgue spaces2015

    • Author(s)
      M. Izuki, E. Nakai and Y. Sawano
    • Journal Title

      Ann. Acad. Sci. Fenn. Math.

      Volume: 40 Pages: 551-571

    • DOI

      10.5186/aasfm.2015.4032

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Sobolev&apos;s inequality for Riesz potentials in Lorentz spaces of variable exponent2015

    • Author(s)
      Yoshihiro Mizuta and Takao Ohno
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 67 Issue: 2 Pages: 433-452

    • DOI

      10.2969/jmsj/06720433

    • NAID

      130005069886

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Estimates for trilinear flag paraproducts on L^{infty} and Hardy spaces2015

    • Author(s)
      Akihiko Miyachi and Naohito Tomita
    • Journal Title

      Mathematische Zeitschrift

      Volume: 282 Issue: 1-2 Pages: 577-613

    • DOI

      10.1007/s00209-015-1554-0

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Calderon-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces2021

    • Author(s)
      川澄亮太、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Boundedness of fractional integrals on martingale Orlicz-Morrey spaces2021

    • Author(s)
      新井龍太郎
    • Organizer
      日本数学会年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Weak-weak boundness of commutators of integral operators with functions in Campanato spaces2021

    • Author(s)
      川澄亮太
    • Organizer
      調和解析セミナー
    • Related Report
      2019 Annual Research Report
  • [Presentation] Generalized fractional integrals based on symmetric Markovian semigroup2021

    • Author(s)
      雨谷康平
    • Organizer
      調和解析セミナー
    • Related Report
      2019 Annual Research Report
  • [Presentation] An extension of the VMO-H^1 duality2021

    • Author(s)
      山口哲志
    • Organizer
      調和解析セミナー
    • Related Report
      2019 Annual Research Report
  • [Presentation] Weak-weak boundedness of commutators of generalized fractional integral operators with functions in Campanato spaces2020

    • Author(s)
      川澄亮太
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces2020

    • Author(s)
      川澄亮太、中井英一、石明磊
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Commutators of Calderon-Zygmund and generalized fractional integral operators with functions in generalized Campanato spaces on Orlicz-Morrey spaces2020

    • Author(s)
      石明磊、新井龍太郎、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Generalized fractional integral operators on weak Orlicz spaces2020

    • Author(s)
      川澄亮太、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Pointwise multipliers and generalized Campanato spaces with variable growth condition I2019

    • Author(s)
      中井英一
    • Organizer
      RIMS研究集会「関数空間論とその周辺」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Pointwise multipliers and generalized Campanato spaces with variable growth condition II2019

    • Author(s)
      中井英一
    • Organizer
      RIMS研究集会「関数空間論とその周辺」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Pointwise multipliers and generalized Campanato spaces with variable growth condition III2019

    • Author(s)
      中井英一
    • Organizer
      RIMS研究集会「関数空間論とその周辺」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Commutators on Orlicz-Morrey spaces2019

    • Author(s)
      石明磊、新井龍太郎、中井英一
    • Organizer
      実解析学シンポジウム2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] Two results on interpolation and their applications2019

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Weighted generalized Triebel-Lizorkin spaces2019

    • Author(s)
      Takahiro Noi
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hausdorff operators in several dimensions2019

    • Author(s)
      Akihiko Miyachi
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dual of the Choquet spaces with weighted Hausdorff content2019

    • Author(s)
      Hiroki Saito
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two-weight norm inequalities for product fractional integral operators2019

    • Author(s)
      Hitoshi Tanaka
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On self-similar solutions to nonlinear wave equations2019

    • Author(s)
      Mitsuru Sugimoto
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Existence of a conjugate point in the incompressible Euler flow on an ellipsoid2019

    • Author(s)
      Tsuyoshi Yoneda
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the L^2 x L^2 --> L^r boundedness of bilinear pseudo-differential operators of S_00-type2019

    • Author(s)
      Naohito Tomita
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Representation of higher-order dispersive operators via short-time Fourier transform and its application2019

    • Author(s)
      Masaharu Kobayashi
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Characterizations of VMO_{△_N}(R^n) space2019

    • Author(s)
      Kozo Yabuta
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fractional integrals for martingales2019

    • Author(s)
      Gaku Sadasue
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A sparse bound for a time-integral operator with the half-wave propagator2019

    • Author(s)
      Yohei Tsutsui
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A relation of multiple Fourier series and Gauss's circle problems2019

    • Author(s)
      Eiichi Nakai
    • Organizer
      International Conference on Function Spaces and Geometric Analysis and Their Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Commutators of fractonal integrals on martingale Orlicz Spaces2019

    • Author(s)
      新井龍太郎、中井英一、貞末岳
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] A characterization of pointwise multipliers on weak Morrey spaces2019

    • Author(s)
      川澄 亮太、中井英一
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Sharp maximal function and Orlicz-Morrey spaces2019

    • Author(s)
      石明磊、中井英一
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Multiple Fourier series and lattice point problems2019

    • Author(s)
      Eiichi Nakai
    • Organizer
      The 7th East Asian Conference in Harmonic Analysis and Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] One dimensional weighted Hardy's inequalities and application2019

    • Author(s)
      堀内利郎、安藤広、Liu Xiaojing
    • Organizer
      日本数学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Hardy-Sobolev inequalities in the half space2019

    • Author(s)
      水田義弘
    • Organizer
      RIMS研究集会「関数空間の深化とその周辺 」
    • Related Report
      2019 Annual Research Report
  • [Presentation] Monotone Sobolev functions with double phase2019

    • Author(s)
      水田義弘
    • Organizer
      ポテンシャル論研究集会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Herz-Morrey-Musielak-Orlicz spaces2019

    • Author(s)
      水田義弘
    • Organizer
      実函数論・函数解析学合同シンポジウム
    • Related Report
      2019 Annual Research Report
  • [Presentation] Instantaneous vortex stretching and energy cascade on the incompressible 3D Euler equations2019

    • Author(s)
      Tsuyoshi Yoneda
    • Organizer
      National Chiao Tung University Seminar
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent topics on well-posedness and stability of incompressible fluid and related topics2019

    • Author(s)
      Tsuyoshi Yoneda
    • Organizer
      Summer Graduate School in Mathematical Sciences Research Institute Berkeley
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A remark on the zeroth law and instantaneous vortex stretching on the incompressible 3D Euler equations2019

    • Author(s)
      Tsuyoshi Yoneda
    • Organizer
      Kyoto University Applied Mathematics Seminar
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pointwise multipliers on weak Morrey spaces2019

    • Author(s)
      川澄亮太、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Generalized fractional maximal operators on Orlicz-Morrey spaces2019

    • Author(s)
      石明磊、新井龍太郎、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] An extension of the characterization of CMO and its application to compact commutators on Morrey spaces2019

    • Author(s)
      新井龍太郎、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fractional integrals and their commutators on martingale Orlicz spaces2018

    • Author(s)
      新井龍太郎、中井英一、貞末岳
    • Organizer
      RIMS研究集会「関数空間の一般化とその周辺」
    • Related Report
      2018 Annual Research Report
  • [Presentation] Generalized fractional maximal operators on Orlicz spaces2018

    • Author(s)
      石明磊、中井英一
    • Organizer
      実解析学シンポジウム2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] Compact commutators on generalized Morrey spaces2018

    • Author(s)
      新井龍太郎、中井英一
    • Organizer
      実解析学シンポジウム2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] Fractional integrals on martingale Orlicz spaces2018

    • Author(s)
      新井龍太郎、中井英一、貞末岳
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Pointwise multipliers on weak Orlicz spaces2018

    • Author(s)
      川澄亮太、中井英一
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Campanato spaces and commutators of generalized fractional integral operators on Orlicz spaces2018

    • Author(s)
      石明磊、新井龍太郎、中井英一
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Pointwise multipliers on BMO spaces with non-doubling measures2018

    • Author(s)
      Nakai Eiichi
    • Organizer
      The 6th East Asian Conference in Harmonic Analysis and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Generalized Campanato spaces with variable growth condition and commutators2018

    • Author(s)
      Arai Ryutaro
    • Organizer
      The 6th East Asian Conference in Harmonic Analysis and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Generalized fractional integral operators on Orlicz spaces2018

    • Author(s)
      Shi Minglei
    • Organizer
      The 6th East Asian Conference in Harmonic Analysis and Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Generalized Campanato spaces with variable growth condition2018

    • Author(s)
      Nakai Eiichi
    • Organizer
      RIMS Workshop on Harmonic Analysis and Nonlinear Partial Differential Equations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Commutators of integral operators with functions in generalized Campanato spaces with variable growth condition2018

    • Author(s)
      Nakai Eiichi
    • Organizer
      International Conference on Harmonic Analysis and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Littlewood-Paley function characterization of Hardy spaces on homogeneous groups2018

    • Author(s)
      Sato Shuichi
    • Organizer
      International Conference on Harmonic Analysis and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Analysis on martingale Morrey spaces2018

    • Author(s)
      Sadasue Gaku
    • Organizer
      International Conference on Harmonic Analysis and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Bilinear pseudo-differential operators with exotic symbols2018

    • Author(s)
      Tomita Naohito
    • Organizer
      International Conference on Harmonic Analysis and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Complex interpolation and Calderon-Mityagin couples of Morrey spaces2018

    • Author(s)
      Sawano Yoshihiro
    • Organizer
      International Conference on Harmonic Analysis and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies2018

    • Author(s)
      Terasawa Yutaka
    • Organizer
      International Conference on Harmonic Analysis and Its Applications
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Commutators of fractional integrals on martingale Morrey spaces2018

    • Author(s)
      貞末岳、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Commutators of generalized fractional integral operators on Orlicz spaces2018

    • Author(s)
      石明磊、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Compact commutators of Calderon-Zygmund and generalized fractional integral operators with a function in Campanato spaces on generalized Morrey spaces2018

    • Author(s)
      新井龍太郎、中井英一
    • Organizer
      日本数学会年会
    • Related Report
      2017 Annual Research Report
  • [Presentation] The equivalences among p-capacity、p-Laplace-capacities and Hausdorff measure2018

    • Author(s)
      劉暁静、堀内利郎
    • Organizer
      日本数学会年会函数方程式分科会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Compactness of commutators on generalized Morrey spaces2018

    • Author(s)
      新井龍太郎
    • Organizer
      調和解析セミナー
    • Related Report
      2017 Annual Research Report
  • [Presentation] Improved Kato's inequalities for a quasilinear elliptic operator and relating topics2018

    • Author(s)
      劉暁静、堀内利郎
    • Organizer
      Tsukuba Workshop for Young Mathematicians
    • Related Report
      2017 Annual Research Report
  • [Presentation] Commutators of integral operators with a function in generalized Campanato spaces2018

    • Author(s)
      新井龍太郎、中井英一
    • Organizer
      RIMS研究集会「関数空間の深化とその周辺」
    • Related Report
      2017 Annual Research Report
  • [Presentation] Generalized fractional integrals on Orlicz spaces2018

    • Author(s)
      中井英一
    • Organizer
      RIMS研究集会「関数空間の深化とその周辺」
    • Related Report
      2017 Annual Research Report
  • [Presentation] Characterizations of boundedness for generalized fractional integrals on martingale Morrey spaces2017

    • Author(s)
      貞末岳, 中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-24
    • Related Report
      2016 Annual Research Report
  • [Presentation] 変動指数をもつ関数空間2017

    • Author(s)
      水田義弘
    • Organizer
      本数学会年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-24
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] p-ラプラシアンを含む精密化された加藤の不等式とその応用2017

    • Author(s)
      劉暁静, 堀内利郎
    • Organizer
      日本数学会年会
    • Place of Presentation
      首都大学東京南大沢キャンパス
    • Year and Date
      2017-03-24
    • Related Report
      2016 Annual Research Report
  • [Presentation] 数論でのある数値計算について2017

    • Author(s)
      藤間昌一
    • Organizer
      研究集会「数値解析の理論と実践」
    • Place of Presentation
      石川県政記念しいのき迎賓館
    • Year and Date
      2017-03-21
    • Related Report
      2016 Annual Research Report
  • [Presentation] Fractional integrals on martingale spaces,2017

    • Author(s)
      貞末岳, 中井英一
    • Organizer
      RIMS研究集会「関数空間の構造とその周辺」
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2017-02-06
    • Related Report
      2016 Annual Research Report
  • [Presentation] Commutators generated by generalized fractional integral operators and functions in Campanato spaces with variable growth condition2017

    • Author(s)
      新井龍太郎、中井英一
    • Organizer
      実解析学シンポジウム2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] On sufficient conditions for the boundedness of the fractional maximal operator between weighted L^p-spaces with different weights2017

    • Author(s)
      飯田毅士
    • Organizer
      実解析学シンポジウム2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] Non-smooth decomposition of homogeneous Triebel-Lizorkin spaces with applications to the Marcinkiewicz integral2017

    • Author(s)
      浅見圭祐
    • Organizer
      実解析学シンポジウム2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] Commutators of Calderon-Zygmund and generalized fractional integral operators on generalized Morrey spaces with variable growth condition2017

    • Author(s)
      新井龍太郎、中井英一
    • Organizer
      日本数学会秋季総合分科会
    • Related Report
      2017 Annual Research Report
  • [Presentation] Complex interpolation of predual of local Morrey-type spaces2017

    • Author(s)
      Denny Ivanal Hakim
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Some variations on wavelet reconstruction formulae2017

    • Author(s)
      Shinya Moritoh
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A characterization of generalized Besov Morrey spaces by differences2017

    • Author(s)
      Takahiro Noi
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Fractional integrals on martingale spaces2017

    • Author(s)
      Gaku Sadasue
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] An observation of the atomic decomposition of Hardy spaces with variable exponent2017

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A weak type of norm inflation for solutions of the incompressible 2D Euler equations near the critical Besov space B^2_{21}2017

    • Author(s)
      Tsuyoshi Yoneda
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Commutators of generalized fractional integral operators on generalized Morrey spaces2017

    • Author(s)
      Ryutaro Arai
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Improved Kato's inequalities for the quasilinear elliptic operator and relating topics2017

    • Author(s)
      Xiaojing Liu
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A non-dense subspace of M^p_q2017

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A weak type of norm inflation for solutions of the incompressible 2D Euler equations near the critical Besov space B^2_{21}2017

    • Author(s)
      Tsuyoshi Yoneda
    • Organizer
      5th East Asian Conference in Harmonic Analysis and its Applications
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On Kato's inequalities when Δp u is a measure and related topics2016

    • Author(s)
      劉暁静, 堀内利郎
    • Organizer
      RIMS研究集会「偏微分方程式の解の形状解析」
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2016-11-09
    • Related Report
      2016 Annual Research Report
  • [Presentation] Pointwise multipliers on Musielak-Orlicz-Morrey spaces2016

    • Author(s)
      Eiichi Nakai
    • Organizer
      RIMS研究集会「等距離写像研究の多角的アプローチ」
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2016-10-31
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Pointwise multipliers on Musielak-Orlicz spaces2016

    • Author(s)
      中井英一
    • Organizer
      実解析学シンポジウム2016
    • Place of Presentation
      奈良女子大学理学部,
    • Year and Date
      2016-10-21
    • Related Report
      2016 Annual Research Report
  • [Presentation] Generalized fractional integrals on martingale Morrey spaces2016

    • Author(s)
      Gaku Sadasue
    • Organizer
      Harmonic Analysis and its Applications in Beijing 2016
    • Place of Presentation
      北京航空航天大学
    • Year and Date
      2016-09-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Complex interpolation of the closed subspaces of Morrey spaces2016

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      Harmonic Analysis and its Applications in Beijing 2016
    • Place of Presentation
      北京航空航天大学
    • Year and Date
      2016-09-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Complex interpolation theorem on B^u_w spaces2016

    • Author(s)
      Takuya Sobukawa
    • Organizer
      Harmonic Analysis and its Applications in Beijing 2016
    • Place of Presentation
      北京航空航天大学
    • Year and Date
      2016-09-29
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 4次元におけるフーリエ球形部分和2016

    • Author(s)
      大坪和弥, 倉坪茂彦, 中井英一, 藤間昌一
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] Remarks on Kato's inequality when Δp u is a measure2016

    • Author(s)
      劉暁静, 堀内利郎
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      関西大学
    • Year and Date
      2016-09-15
    • Related Report
      2016 Annual Research Report
  • [Presentation] Complex interpolation of Morrey spaces2016

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      RIMS研究集会「調和解析と非線形偏微分方程式」
    • Place of Presentation
      京都大学 数理解析研究所
    • Year and Date
      2016-07-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multilinear Fourier multipliers with minimal Sobolev regularity2016

    • Author(s)
      冨田直人, L. Grafakos, 宮地晶彦, H. N. Nguyen,
    • Organizer
      日本数学会年会
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2016-03-16
    • Related Report
      2015 Annual Research Report
  • [Presentation] Bilinear pseudo-differential operators with symbols in the Hoermander class2016

    • Author(s)
      Akihiko Miyachi
    • Organizer
      Harmonic Analysis, Geometric Analysis and PDE Workshop
    • Place of Presentation
      埼玉大学(埼玉県さいたま市)
    • Year and Date
      2016-03-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] B^u_w-function spaces and their interpolation2015

    • Author(s)
      Takuya Sobukawa
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      早稲田大学早稲田キャンパス国際会議場(東京都新宿区)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A blowup criteria along maximum points of the 3D-Navier-Stokes flow in terms of stationary Euler flows and function spaces with variable growth condition2015

    • Author(s)
      Tsuyoshi Yoneda
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      早稲田大学早稲田キャンパス国際会議場(東京都新宿区)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Complex interpolation of Morrey spaces -- second method2015

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      早稲田大学早稲田キャンパス国際会議場(東京都新宿区)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Martingale Morrey-Campanato spaces2015

    • Author(s)
      Gaku Sadasue
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      早稲田大学早稲田キャンパス国際会議場(東京都新宿区)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 4次元における Kuratsubo 現象について2015

    • Author(s)
      大坪和弥, 倉坪茂彦, 中井英一
    • Organizer
      実解析学シンポジウム2015
    • Place of Presentation
      東邦大学習志野キャンパス(千葉県習志野市)
    • Year and Date
      2015-10-23
    • Related Report
      2015 Annual Research Report
  • [Presentation] Vector-valued inequalities for the Hardy-Littlewood maximal operator on generalized Orlicz-Morrey spaces2015

    • Author(s)
      Denny Ivanal Hakim, 澤野嘉宏, 中井英一
    • Organizer
      実解析学シンポジウム2015
    • Place of Presentation
      東邦大学習志野キャンパス(千葉県習志野市)
    • Year and Date
      2015-10-23
    • Related Report
      2015 Annual Research Report
  • [Presentation] A note on fractional integrals of martingales2015

    • Author(s)
      貞末岳
    • Organizer
      実解析学シンポジウム2015
    • Place of Presentation
      東邦大学習志野キャンパス(千葉県習志野市)
    • Year and Date
      2015-10-23
    • Related Report
      2015 Annual Research Report
  • [Presentation] Linear operators on generalized Morrey spaces2015

    • Author(s)
      Denny Ivanal Hakim, 中井英一, 澤野嘉宏
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      京都産業大学(京都府京都市)
    • Year and Date
      2015-09-13
    • Related Report
      2015 Annual Research Report
  • [Presentation] Flag paraproduct の Hardy 空間上での有界性について2015

    • Author(s)
      冨田直人,宮地晶彦
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      京都産業大学(京都府京都市)
    • Year and Date
      2015-09-13
    • Related Report
      2015 Annual Research Report
  • [Presentation] 関数空間の実補間理論と Morrey 空間の一般化2015

    • Author(s)
      曽布川拓也
    • Organizer
      第54回実函数論・函数解析学合同シンポジウム
    • Place of Presentation
      神奈川大学横浜キャンパス3号館205号室(神奈川県横浜市)
    • Year and Date
      2015-09-02
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Complex interpolation of Morrey spaces -- second method2015

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      The Fifth International Symposium on Banach and Function Spaces 2015
    • Place of Presentation
      九州工業大学(福岡県北九州市)
    • Year and Date
      2015-09-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] B^u_w-function spaces and their interpolation2015

    • Author(s)
      Takuya Sobukawa
    • Organizer
      The Fifth International Symposium on Banach and Function Spaces 2015
    • Place of Presentation
      九州工業大学(福岡県北九州市)
    • Year and Date
      2015-09-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pointwise multipliers on several function spaces2015

    • Author(s)
      Eiichi Nakai
    • Organizer
      The Fifth International Symposium on Banach and Function Spaces 2015
    • Place of Presentation
      九州工業大学(福岡県北九州市)
    • Year and Date
      2015-09-02
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multilinear Fourier multipliers with minimal regularity2015

    • Author(s)
      Akihiko Miyachi
    • Organizer
      3rd East Asian Conference in Harmonic Analysis and its Applications
    • Place of Presentation
      東京大学駒場キャンパス(東京都目黒区)
    • Year and Date
      2015-08-10
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] B^u_w-function spaces and their interpolation2015

    • Author(s)
      Takuya Sobukawa
    • Organizer
      International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
    • Place of Presentation
      モスクワ・ステクロフ数学研究所(ロシア)
    • Year and Date
      2015-05-25
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] 数理流体力学への招待―ミレニアム懸賞問題から乱流へ2020

    • Author(s)
      米田剛
    • Total Pages
      128
    • Publisher
      サイエンス社
    • ISBN
      9784781914688
    • Related Report
      2019 Annual Research Report
  • [Remarks] 研究業績一覧 ( 中井英一 )

    • URL

      http://enakai.sci.ibaraki.ac.jp/publication-j.html

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report 2017 Annual Research Report 2016 Annual Research Report 2015 Annual Research Report
  • [Remarks] Harmonic Analysis and its Applications in Tokyo

    • URL

      http://enakai.sci.ibaraki.ac.jp/haat2017/

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Harmonic Analysis and its Applications in Tokyo 20172017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Harmonic Analysis and its Applications in Tokyo 20152015

    • Place of Presentation
      早稲田大学早稲田キャンパス国際会議場(東京都新宿区)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] 3rd East Asian Conference in Harmonic Analysis and its Applications2015

    • Place of Presentation
      東京大学駒場キャンパス(東京都目黒区)
    • Year and Date
      2015-08-10
    • Related Report
      2015 Annual Research Report

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Published: 2015-04-16   Modified: 2022-11-04  

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