• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Harmonic analysis by real variable methods and its applications

Research Project

Project/Area Number 23340034
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionTokyo Woman's Christian University

Principal Investigator

MIYACHI Akihiko  東京女子大学, 現代教養学部, 教授 (60107696)

Co-Investigator(Kenkyū-buntansha) OKADA Masami  首都大学東京, 理工学研究科, 教授 (00152314)
FURUYA Yasuo  東海大学, 理学部, 教授 (70234903)
KIKUCHI Masato  富山大学, 大学院理工学研究部(理学), 教授 (20204836)
TANAKA Hitoshi  東京大学, 大学院数理科学研究科, 特任助教 (70422392)
TOMITA Naohito  大阪大学, 理学研究科, 准教授 (10437337)
SAWANO Yoshihiro  首都大学東京, 理工学研究科, 准教授 (40532635)
NAKAI Eiichi  茨城大学, 理学部, 教授 (60259900)
TSUTSUI Yohei  東京大学, 大学院数理科学研究科, 特任助教 (40722773)
Co-Investigator(Renkei-kenkyūsha) SATO Shuichi  金沢大学, 教育学部, 准教授 (20162430)
KOBAYASHI Masaharu  山形大学, 理学部, 准教授 (30516480)
TACHIZAWA Kazuya  北海道大学, 大学院理学研究院, 准教授 (80227090)
Project Period (FY) 2011-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥18,070,000 (Direct Cost: ¥13,900,000、Indirect Cost: ¥4,170,000)
Fiscal Year 2014: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2013: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Keywords特異積分 / 擬微分作用素 / フーリエ乗子 / 最大作用素 / 双線形作用素 / ハーディ空間 / パラプロダクト / 調和解析 / 関数空間 / 多重線形作用素 / BMO
Outline of Final Research Achievements

Using product type Sobolev norm, we determined the critical differentiability orders in the Hormander-Mihlin type conditions for bilinear Fourier multiplier operators. We generalized the Calderon-Vaillancourt theorem for linear pseudo-differential operators to the case of bilinear pseudo-differential operators. We obtained several new estimates for various operators of harmonic analysis in various function spaces.

Report

(5 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Annual Research Report
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • Research Products

    (106 results)

All 2015 2014 2013 2012 2011 Other

All Journal Article (56 results) (of which Peer Reviewed: 56 results) Presentation (50 results) (of which Invited: 19 results)

  • [Journal Article] On some martingale inequalities for mean oscillations in weak spaces2015

    • Author(s)
      Masato Kikuhi
    • Journal Title

      Ricerche di Matematica

      Volume: 印刷中 Issue: 1 Pages: 137-165

    • DOI

      10.1007/s11587-015-0224-1

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces2015

    • Author(s)
      Mehriban Omarova, Yoshihiro Sawano, and Vagif Guliyev
    • Journal Title

      Banach Journal of Mathematical Analysis

      Volume: 9 Issue: 2 Pages: 44-62

    • DOI

      10.15352/bjma/09-2-5

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On some inequalities for martingale transforms in Banach function spaces2014

    • Author(s)
      Masato Kikuchi
    • Journal Title

      Acta Sci. Math. (Szeged)

      Volume: 80 Issue: 1-2 Pages: 289-306

    • DOI

      10.14232/actasm-012-542-3

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Directional maximal operators and radial weights on the plane2014

    • Author(s)
      H. Saito and H. Tanaka
    • Journal Title

      Bulletin of the Australian Mathematical Society

      Volume: 89 Issue: 3 Pages: 397-414

    • DOI

      10.1017/s0004972713000804

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Kakeya maximal operator on the variable Lebesgue spaces2014

    • Author(s)
      H. Saito and H. Tanaka
    • Journal Title

      Archiv der Mathematik (Basel)

      Volume: 103

    • DOI

      10.1007/s00013-014-0709-2

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A characterization of two-weight trace inequalities for positive dyadic operators in the upper triangle case2014

    • Author(s)
      H. Tanaka
    • Journal Title

      Potential Analysis

      Volume: 41 Issue: 2 Pages: 487-499

    • DOI

      10.1007/s11118-013-9379-0

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Function spaces with variable exponents -- an introduction --2014

    • Author(s)
      Mitsuo Izuki, Eiichi Nakai, and Yoshihiro Sawano
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: 77

    • NAID

      130007643061

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orlicz-Hardy spaces and their duals2014

    • Author(s)
      Eiichi Nakai and Yoshihiro Sawano
    • Journal Title

      Science China Mathematics

      Volume: 57 Issue: 5 Pages: 903-962

    • DOI

      10.1007/s11425-014-4798-y

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fatou property of predual Morrey spaces with non-doubling measures2014

    • Author(s)
      Yoshihiro Sawano, Hitoshi Tanaka
    • Journal Title

      International Journal of Applied Mathematics

      Volume: 27 Issue: 3

    • DOI

      10.12732/ijam.v27i3.8

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Characterizations for the generalized fractional integral operators on Morrey spaces2014

    • Author(s)
      Eridani, Hendra Gunawan, Eiichi Nakai, and Yoshihiro Sawano
    • Journal Title

      Math. Inequal. Appl.

      Volume: 17 Issue: 2 Pages: 761-777

    • DOI

      10.7153/mia-17-56

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Atomic decomposition for Morrey spaces2014

    • Author(s)
      Takeshi Iida, Yoshihiro Sawano, and Hitoshi Tanaka
    • Journal Title

      Zeitschrift fur Analysis und ihre Anwendungen

      Volume: 33 Issue: 2 Pages: 149-170

    • DOI

      10.4171/zaa/1504

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in Orlicz-Morrey spaces2014

    • Author(s)
      S. Gala, M.A. Ragusa, Y. Sawano and H. Tanaka
    • Journal Title

      Applicable Analysis

      Volume: 93 Issue: 2 Pages: 356-368

    • DOI

      10.1080/00036811.2013.772582

    • Related Report
      2014 Annual Research Report 2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness criterion for bilinear Fourier multiplier operators2014

    • Author(s)
      A. Miyachi and N. Tomita
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 66 Issue: 1 Pages: 55-76

    • DOI

      10.2748/tmj/1396875662

    • NAID

      130007953667

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A counterexample to weighted estimates for multilinear Fourier multipliers with Sobolev regularity2014

    • Author(s)
      M. Fujita and N. Tomita
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 409 Issue: 2 Pages: 630-636

    • DOI

      10.1016/j.jmaa.2013.07.041

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized fractional integrals on generalized Morrey spaces2014

    • Author(s)
      Eiichi Nakai
    • Journal Title

      Mathematische Nachrichten

      Volume: 287 Issue: 2-3 Pages: 339-351

    • DOI

      10.1002/mana.201200334

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Minimal smoothness conditions for bilinear Fourier multipliers2013

    • Author(s)
      A. Miyachi and N. Tomita
    • Journal Title

      Revista Matematica Iberoamericana

      Volume: 29 Issue: 2 Pages: 495-530

    • DOI

      10.4171/rmi/728

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Calderon-Vaillancourt type theorem for bilinear operators2013

    • Author(s)
      A. Miyachi and N. Tomita
    • Journal Title

      Indiana University Mathematics Journal

      Volume: 62 Issue: 4 Pages: 1165-1201

    • DOI

      10.1512/iumj.2013.62.5059

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators2013

    • Author(s)
      Yoshihiro Sawano
    • Journal Title

      Integral Equations and Operator Theory

      Volume: 77 Issue: 1 Pages: 123-148

    • DOI

      10.1007/s00020-013-2073-1

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Martingale Morrey-Hardy and Campanato-Hardy Spaces2013

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

      Journal of Function Spaces and Applications, Article ID 690258,

      Volume: 2013 Pages: 14-14

    • DOI

      10.1155/2013/690258

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximal function on generalized martingale Lebesgue spaces with variable exponent2013

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

      Statistics & Probability Letters

      Volume: 83 Issue: 10 Pages: 2168-2171

    • DOI

      10.1016/j.spl.2013.06.007

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hardy spaces with variable exponent2013

    • Author(s)
      Mitsuo Izuki, Eiichi Nakai and Yoshihiro Sawano
    • Journal Title

      RIMS Kokyuroku Bessatsu, Harmonic analysis and nonlinear partial differential equations,

      Volume: B42

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent2013

    • Author(s)
      Mitsuo Izuki, Eiichi Nakai and Yoshihiro Sawano
    • Journal Title

      RIMS Kokyuroku Bessatsu, Harmonic analysis and nonlinear partial differential equations

      Volume: B42

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials2013

    • Author(s)
      Yoshihiro Mizuta, Eiichi Nakai, Yoshihiro Sawano and Tetsu Shimomura
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 65 Issue: 2 Pages: 633-670

    • DOI

      10.2969/jmsj/06520633

    • NAID

      10031177293

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The local trace inequality for potential type integral operators2013

    • Author(s)
      H. Tanaka and H. Gunawan
    • Journal Title

      Potential Analysis

      Volume: 38 Issue: 2 Pages: 653-681

    • DOI

      10.1007/s11118-012-9291-z

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-weight norm inequalities for potential type integral operators in the case p>q>0 and p>12013

    • Author(s)
      H. Tanaka
    • Journal Title

      Studia Mathematica

      Volume: 216 Issue: 1 Pages: 1-15

    • DOI

      10.4064/sm216-1-1

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Positive operators and maximal operators in a filtered measure space2013

    • Author(s)
      Yutaka Terasawa
    • Journal Title

      Journal of Functional Analysis

      Volume: 264 Issue: 4 Pages: 920-946

    • DOI

      10.1016/j.jfa.2012.12.003

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A characterization for the boundedness of positive operators in a filtered measure space2013

    • Author(s)
      H. Tanaka and Y. Terasawa
    • Journal Title

      Archiv der Mathematik

      Volume: 101 Issue: 6 Pages: 559-568

    • DOI

      10.1007/s00013-013-0585-1

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the uniqueness of weak solutions of the 3D MHD equations in the Orlicz-Morrey space2013

    • Author(s)
      S. Gala, Y. Sawano and H. Tanaka
    • Journal Title

      Applicable Analysis

      Volume: 92 Issue: 4 Pages: 776-783

    • DOI

      10.1080/00036811.2011.636357

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a relation between norms of the maximal function and the square function of a martingale2013

    • Author(s)
      Masato Kikuchi
    • Journal Title

      Colloquium Mathematicum

      Volume: 132 Issue: 1 Pages: 13-26

    • DOI

      10.4064/cm132-1-2

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Applications of Littlewood-Paley theory for $B_{\sigma}$-Morrey spaces to the boundedness of integral operators2013

    • Author(s)
      Y. Komori-Furuya, K. Matsuoka, E. Nakai and Y. Sawano
    • Journal Title

      Journal of Function Spaces and Applications., Article ID 859402

      Volume: 2013 Pages: 1-21

    • DOI

      10.1155/2013/859402

    • Related Report
      2013 Annual Research Report 2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On multilinear Fourier multipliers of limited smoothness2013

    • Author(s)
      L. Grafakos, A. Miyachi, N. Tomita
    • Journal Title

      Canadian Journal of Mathematics

      Volume: 65 Issue: 2 Pages: 299-330

    • DOI

      10.4153/cjm-2012-025-9

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On some inequalities for martingale transforms in Banach function spaces2013

    • Author(s)
      Masato Kikuchi
    • Journal Title

      Acta Scientiarum Mathematicarum (Szeged)

      Volume: 79

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sobolev Embeddings for Generalized Riesz Potentials of Functions in Morrey Spaces $L^{(1,\varphi)}(G)$ over Nondoubling Measure Spaces2013

    • Author(s)
      Yoshihiro Sawano and Tetsu Shimomura
    • Journal Title

      Journal of Function Spaces and Applications

      Volume: 2013 Pages: 1-12

    • DOI

      10.1155/2013/984259

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents2013

    • Author(s)
      Yoshihiro Sawano and Tetsu Shimomura
    • Journal Title

      Collectanea Mathematica

      Volume: online, open access Issue: 3 Pages: 1-38

    • DOI

      10.1007/s13348-013-0082-7

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integral operators on B_{\sigma}-Morrey-Campanato spaces2013

    • Author(s)
      Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai and Yoshihiro Sawano
    • Journal Title

      Revista Matematica Complutense

      Volume: 26 Issue: 1 Pages: 1-32

    • DOI

      10.1007/s13163-011-0091-6

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Schatten p-class property of pseudo-differential operators with symbols in modulation spaces2012

    • Author(s)
      Masaharu Kobayashi, Akihiko Miyachi
    • Journal Title

      Nagoya Mathematical Journal

      Volume: 205 Pages: 119-148

    • DOI

      10.1215/00277630-1543796

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Uniform boundedness of conditional expectation operators on a Banach function space2012

    • Author(s)
      Masato Kikuchi
    • Journal Title

      Mathematical inequalities & Applications

      Volume: 16 Issue: 2 Pages: 483-499

    • DOI

      10.7153/mia-16-35

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orlicz-Morrey Spaces and Fractional Operators2012

    • Author(s)
      Yoshihiro Sawano, Satoko Sugano, Hitoshi Tanaka
    • Journal Title

      Potential Analysis

      Volume: 36 Issue: 4 Pages: 517-556

    • DOI

      10.1007/s11118-011-9239-8

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A new Beal-Kato-Majda critieria for the 3D magneto-micropolar fluid equations in the Orlicz-Morrey space2012

    • Author(s)
      Sadek Gala, Yoshihiro Sawano and Hitoshi Tanaka
    • Journal Title

      Math. Methods Appl. Sci.

      Volume: 35 Issue: 11 Pages: 1321-1334

    • DOI

      10.1002/mma.2535

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Multilinear fractional integrals on Morrey spaces2012

    • Author(s)
      Iida T., Sato E., Sawano Y. and Tanaka H.
    • Journal Title

      Acta Mathematica Sinica (English Series)

      Volume: 28 Issue: 7 Pages: 1375-1384

    • DOI

      10.1007/s10114-012-0617-y

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sharp bounds for multilinear fractional integral operators on Morrey type spaces2012

    • Author(s)
      Iida T., Sato E., Sawano Y. and Tanaka H.
    • Journal Title

      Positivity

      Volume: 16 Issue: 2 Pages: 339-358

    • DOI

      10.1007/s11117-011-0129-5

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weighted norm inequalities for multilinear Fourier multipliers2012

    • Author(s)
      M. Fujita and N. Tomita
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 364 Issue: 12 Pages: 6335-6353

    • DOI

      10.1090/s0002-9947-2012-05700-x

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A remark on multilinear Fourier multipliers satisfying Besov estimates2012

    • Author(s)
      N. Tomita
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 33

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hardy spaces with variable exponents and generalized Campanato spaces2012

    • Author(s)
      Eiichi Nakai, Yoshihiro Sawano
    • Journal Title

      Journal of Functional Analysis

      Volume: 262 Issue: 9 Pages: 3665-3748

    • DOI

      10.1016/j.jfa.2012.01.004

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized Stummel class and Morrey spaces2012

    • Author(s)
      Hendra Gunawan, Eiichi Nakai, Yoshihiro Sawano and Hitoshi Tanaka
    • Journal Title

      Publications de l'Institut Mathematique

      Volume: 92 Issue: 106 Pages: 127-138

    • DOI

      10.2298/pim1206127g

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Construction of slowly increasing functions2012

    • Author(s)
      Hiroshi Ando, Toshio Horiuchi and Eiichi Nakai
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: 75

    • NAID

      130007663411

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R^n2012

    • Author(s)
      Yoshihiro Mizuta
    • Journal Title

      Rev. Mat. Complut.

      Volume: 25 Issue: 2 Pages: 413-434

    • DOI

      10.1007/s13163-011-0074-7

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Martingale Morrey-Campanato spaces and fractional integrals2012

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

      Journal of Function Spaces and Applications

      Volume: 2012 Pages: 1-29

    • DOI

      10.1155/2012/673929

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bilinear estimates in dyadic BMO and the Navier-Stokes equations2012

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

      Journal of the Mathematical Society of Japan

      Volume: 64 Issue: 2 Pages: 399-422

    • DOI

      10.2969/jmsj/06420399

    • NAID

      10030740240

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Martingale Orlicz-Hardy spaces2012

    • Author(s)
      Takashi Miyamoto, Eiichi Nakai, Gaku Sadasue
    • Journal Title

      Mathematische Nachrichten

      Volume: 285 Issue: 5-6 Pages: 670-686

    • DOI

      10.1002/mana.201000109

    • Related Report
      2012 Annual Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bilinear estimates in dyadic BMO and the Navier-Stokes equations2012

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

      Journal of the Mathematical Society of Japan

      Volume: 64 Pages: 399-422

    • NAID

      10030740240

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Commutators of pseudo-differential operators on local Hardy spaces2011

    • Author(s)
      Y.Komori-Furuya
    • Journal Title

      Acta Sci.Math.(Szeged)

      Volume: 77 Pages: 489-501

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fractional integral operators on Herz spaces for supercritical indices2011

    • Author(s)
      Y.Komori-Furuya
    • Journal Title

      J.Funct.Spaces and Appl.

      Volume: 9 Pages: 179-190

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Remarks on nonlinear operations on modulation spaces2011

    • Author(s)
      M.Sugimoto, N.Tomita, B.Wang
    • Journal Title

      Integral Equations and Special Functions

      Volume: 22 Issue: 4-5 Pages: 351-358

    • DOI

      10.1080/10652469.2010.541054

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weighted norm inequalities for multilinear fractional operators on Morrey spaces2011

    • Author(s)
      Iida, Takeshi; Sato, Enji; Sawano, Yoshihiro; Tanaka, Hitoshi
    • Journal Title

      Studia.Math.

      Volume: 205 Pages: 139-170

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces2011

    • Author(s)
      Sawano, Yoshihiro; Sugano, Satoko; Tanaka, Hitoshi
    • Journal Title

      Trans.Amer.Math.Soc.

      Volume: 363 Pages: 6481-6503

    • NAID

      120003752109

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] Div-curl lemma with critical power weights in dimension three2015

    • Author(s)
      筒井容平
    • Organizer
      日本数学会 2015 年度年会, 実函数論分科会
    • Place of Presentation
      明治大学、駿河台キャンパス
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] On Doob's maximal inequality and Burkholder's square function inequality in weak spaces2014

    • Author(s)
      菊池万里
    • Organizer
      富山解析セミナー 2014
    • Place of Presentation
      富山大学理学部
    • Year and Date
      2014-10-11
    • Related Report
      2014 Annual Research Report
  • [Presentation] コーシー積分-実解析と偏微分方程式の接点2014

    • Author(s)
      古谷康雄
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-27
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent2014

    • Author(s)
      澤野嘉宏
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25 – 2014-09-28
    • Related Report
      2014 Annual Research Report
  • [Presentation] Three remarks on Morrey spaces and related function spaces2014

    • Author(s)
      澤野嘉宏
    • Organizer
      2nd East Asian Conference in Harmonic Analysis and Applications
    • Place of Presentation
      Mudanjiang Normal University, 中国
    • Year and Date
      2014-07-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Flag paraproducts on Hardy spaces2014

    • Author(s)
      Naohito Tomita
    • Organizer
      2nd East Asian Conference in Harmonic Analysis and Applications
    • Place of Presentation
      Mudanjiang Normal University, 中国
    • Year and Date
      2014-07-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Boundedness of small solutions to a chemotaxis system with non- diffusive memory2014

    • Author(s)
      Y. Tsutsui
    • Organizer
      The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Madrid, Spain
    • Year and Date
      2014-07-07 – 2014-07-11
    • Related Report
      2014 Annual Research Report
  • [Presentation] Endpoint estimates for multilinear fractional integral operators2014

    • Author(s)
      古谷康雄
    • Organizer
      調和解析と非線形微分方程式
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-06-30
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 重み付き Hardy 空間を用いた非圧縮 Navier-Stokes 方程式の L2 energy の減衰2014

    • Author(s)
      筒井容平
    • Organizer
      信州大学偏微分方程式研究集会
    • Place of Presentation
      信州大学理学部
    • Year and Date
      2014-06-13 – 2014-06-14
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] An application of weighted Hardy spaces to the Navier-Stokes equations2014

    • Author(s)
      筒井容平
    • Organizer
      第 69 回 PDE 実解析研究会
    • Place of Presentation
      東京大学
    • Year and Date
      2014-04-15
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Bilinear Hilbert 変換の有界性2013

    • Author(s)
      古谷康雄
    • Organizer
      調和解析セミナー
    • Place of Presentation
      日本女子大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] 多重線形フーリエマルチプライヤー作用素の有界性について 1,22013

    • Author(s)
      冨田直人
    • Organizer
      調和解析セミナー
    • Place of Presentation
      日本女子大学
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Generalized Morrey-Campanato spaces of martingales2013

    • Author(s)
      貞末岳, 澤野嘉宏, 中井英一
    • Organizer
      日本数学会年会、実関数論分科会
    • Place of Presentation
      京都大学吉田キャンパス
    • Related Report
      2012 Annual Research Report
  • [Presentation] Sharp smoothness conditions for bilinear Fourier multipliers2012

    • Author(s)
      冨田直人, 宮地晶彦
    • Organizer
      日本数学会年会実関数論分科会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2012-03-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Integral operators on B_{\sigma}-Morrey-Campanato spaces2012

    • Author(s)
      古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
    • Organizer
      日本数学会年会実関数論分科会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2012-03-29
    • Related Report
      2011 Annual Research Report
  • [Presentation] Bilinear Fourier multiplier operators and bilinear pseudo-differential operators2012

    • Author(s)
      Akihiko Miyachi
    • Organizer
      Honan Mathematical Society Conference
    • Place of Presentation
      Jeju University, 韓国
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Bilinear pseudo-differential operators of Calderon-Vaillancourt type2012

    • Author(s)
      Akihiko Miyachi
    • Organizer
      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
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Bilinear Fourier multiplier operators and bilinear pseudo-differential operators2012

    • Author(s)
      Akihiko Miyachi
    • Organizer
      研究集会「Harmonic Analysis and its Applications」
    • Place of Presentation
      浙江師範大学、中国
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 双線形特異積分作用素と双線形擬微分作用素について2012

    • Author(s)
      宮地晶彦
    • Organizer
      研究集会「Linear and Nonlinear Waves」
    • Place of Presentation
      滋賀県立県民交流センター
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 複数の直線上にsingularityをもつ双線形フーリエマルチプライヤーについて2012

    • Author(s)
      古谷康雄
    • Organizer
      調和解析セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Related Report
      2012 Annual Research Report
  • [Presentation] A characterization for the boundedness of positive operators in a filtered measure space2012

    • Author(s)
      Hitoshi Tanaka
    • Organizer
      研究集会「Harmonic Analysis and its Applications at Tokyo 2012」
    • Place of Presentation
      首都大学東京国際交流会館
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Sharp estimates for bilinear Fourier multipliers Fourier Analysis and Pseudo-Differential Operators2012

    • Author(s)
      Naohito Tomita
    • Organizer
      研究集会「Fourier Analysis and Pseudo-Differential Operators」
    • Place of Presentation
      Aalto University (Helsinki, Finland)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Sharp estimates for bilinear Fourier multipliers2012

    • Author(s)
      冨田直人
    • Organizer
      実函数論函数解析学合同シンポジウム
    • Place of Presentation
      東京理科大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Calderon-Vaillancourt type theorem for bilinear operators2012

    • Author(s)
      Naohito Tomita
    • Organizer
      研究集会「Harmonic Analysis and its Applications at Tokyo 2012」
    • Place of Presentation
      首都大学東京、国際交流会館
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] 双線形擬微分作用素に対するCalderon-Vaillancourt型の定理について2012

    • Author(s)
      冨田直人
    • Organizer
      調和解析セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Related Report
      2012 Annual Research Report
  • [Presentation] A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces2012

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      研究集会「Modern Methods of Time-Frequency Analysis II, Applied Coorbit Theory」
    • Place of Presentation
      シュレーディンガー研究所、オーストリア
    • Related Report
      2012 Annual Research Report
  • [Presentation] 変動する指標をもつ関数空間 1, 2, 32012

    • Author(s)
      中井英一
    • Organizer
      調和解析セミナー
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Generalized fractional integrals of variable order2012

    • Author(s)
      Eiichi Nakai
    • Organizer
      研究集会「Harmonic Analysis and its Applications at Tokyo 2012」
    • Place of Presentation
      首都大学東京、国際交流会館
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Weak type Morrey spaces with variable exponents2012

    • Author(s)
      中井英一
    • Organizer
      実解析学シンポジウム2012
    • Place of Presentation
      茨城大学理学部
    • Related Report
      2012 Annual Research Report
  • [Presentation] Generalized fractional integrals on martingale Morrey-Campanato spaces2012

    • Author(s)
      貞末岳, 中井英一, 澤野嘉宏
    • Organizer
      実解析学シンポジウム2012
    • Place of Presentation
      茨城大学理学部
    • Related Report
      2012 Annual Research Report
  • [Presentation] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012

    • Author(s)
      水田義弘, 中井英一, 澤野嘉宏, 下村哲
    • Organizer
      日本数学会秋季総合分科会、実関数論分科会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Generalized Morrey spaces and generalized fractional integrals2012

    • Author(s)
      Eiichi Nakai
    • Organizer
      International Symposium on Banach and Function Spaces 2012
    • Place of Presentation
      九州工業大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Morrey spaces with variable exponent and variable growth condition2012

    • Author(s)
      Eiichi Nakai
    • Organizer
      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
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Morrey spaces and weights2011

    • Author(s)
      Hitoshi Tanaka
    • Organizer
      Harmonic Analysis and its Applications at Nara 2011
    • Place of Presentation
      奈良学セミナーハウス
    • Year and Date
      2011-11-12
    • Related Report
      2011 Annual Research Report
  • [Presentation] Sharp conditions for multilinear Fourier multipliers2011

    • Author(s)
      Akihiko Miyachi, Naohito Tomita
    • Organizer
      Harmonic Analysis and its Applications at Nara 2011
    • Place of Presentation
      奈良学セミナーハウス
    • Year and Date
      2011-11-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] Morrey spaces for non-doubling measures II2011

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      Harmonic Analysis and its Applications at Nara 2011
    • Place of Presentation
      奈良学セミナーハウス
    • Year and Date
      2011-11-11
    • Related Report
      2011 Annual Research Report
  • [Presentation] Sharp conditions on multilinear Fourier multipliers2011

    • Author(s)
      Akihiko Miyachi
    • Organizer
      8th International Conference on Function Spaces, Differential Operators, and Nonlinear Analysis
    • Place of Presentation
      Tabarz, Germany(招待講演)
    • Year and Date
      2011-09-22
    • Related Report
      2011 Annual Research Report
  • [Presentation] Sharp estimates for bilinear Fourier multipliers2011

    • Author(s)
      Naohito Tomita
    • Organizer
      調和解析と非線形偏微分方程式
    • Place of Presentation
      数理解析研究所,京都大学(招待講演)
    • Year and Date
      2011-07-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] 双線形擬微分作用素に対するCalderon-Vaillancourt型の定理について

    • Author(s)
      冨田直人
    • Organizer
      線形および非線形分散型方程式の研究
    • Place of Presentation
      数理解析研究所(京都大学)
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Sharp estimates for bilinear Fourier multiplier operators

    • Author(s)
      宮地晶彦
    • Organizer
      Fluid Mechanics and Singular Integrals
    • Place of Presentation
      セビリア大学、スペイン
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] Generalized fractional integrals on Morrey spaces with variable exponent

    • Author(s)
      中井英一
    • Organizer
      Asian Mathematical Conference 2013
    • Place of Presentation
      Busan Exhibition and Convention Center (BEXCO), 釜山、韓国
    • Related Report
      2013 Annual Research Report
  • [Presentation] Maximal function on generalized martingale Lebesgue spaces with variable exponent

    • Author(s)
      貞末岳, 中井英一
    • Organizer
      日本数学会秋季総合分科会 実関数論分科会
    • Place of Presentation
      愛媛大学城北キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] Pointwise multipliers on martingale Campanato spaces

    • Author(s)
      貞末岳, 中井英一
    • Organizer
      日本数学会秋季総合分科会 実関数論分科会
    • Place of Presentation
      愛媛大学城北キャンパス
    • Related Report
      2013 Annual Research Report
  • [Presentation] 双線形フーリエマルチプライヤー作用素の有界性について

    • Author(s)
      冨田直人
    • Organizer
      日本数学会秋季総合分科会 函数方程式分科会
    • Place of Presentation
      愛媛大学城北キャンパス
    • Related Report
      2013 Annual Research Report
    • Invited
  • [Presentation] 弱空間に於けるマルチンゲールの平均振動不等式

    • Author(s)
      菊池万里
    • Organizer
      富山解析セミナー2013
    • Place of Presentation
      富山大学理学部
    • Related Report
      2013 Annual Research Report
  • [Presentation] Smoothness conditions for bilinear Fourier multipliers

    • Author(s)
      冨田直人
    • Organizer
      1st East Asian Conference in Harmonic Analysis and Applications
    • Place of Presentation
      ソウル国立大学、韓国
    • Related Report
      2013 Annual Research Report
  • [Presentation] The Gibbs-Wilbraham, Pinsky and the third phenomena for the multiple Fourier series

    • Author(s)
      倉坪茂彦、中井英一
    • Organizer
      1st East Asian Conference in Harmonic analysis and Applications
    • Place of Presentation
      ソウル国立大学、韓国
    • Related Report
      2013 Annual Research Report
  • [Presentation] A note on BLO martingales

    • Author(s)
      中井英一, 貞末岳
    • Organizer
      実解析学シンポジウム2013
    • Place of Presentation
      岡山大学教育学部
    • Related Report
      2013 Annual Research Report
  • [Presentation] 2次元近似サンプリング定理に向けて 不規則配置の場合

    • Author(s)
      岡田正已
    • Organizer
      日本数学会 2014年度年会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Annual Research Report
  • [Presentation] Hardy spaces with variable exponents

    • Author(s)
      Yoshihiro Sawano
    • Organizer
      43回イラン数学会議
    • Place of Presentation
      タブリーツ大学、イラン
    • Related Report
      2012 Annual Research Report

URL: 

Published: 2011-04-06   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi