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Function spaces with variable exponent

Research Project

Project/Area Number 20540167
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionIbaraki University (2011)
Osaka Kyoiku University (2008-2010)

Principal Investigator

NAKAI Eiichi  茨城大学, 理学部, 教授 (60259900)

Co-Investigator(Kenkyū-buntansha) MIZUTA Yoshihiro  広島工業大学, 工学部, 教授 (00093815)
Research Collaborator SADASUE Gaku  大阪教育大学, 教育学部, 准教授 (40324884)
SAWANO Yoshihiro  京都大学, 理学研究科, 助教 (40532635)
Project Period (FY) 2008 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords変動指数 / 関数空間 / 分数べき積分 / Lipschitz空間 / Hardy空間 / Campanato空間 / Morrey空間 / Orlicz空間 / 実解析 / 調和解析 / フーリエ解析
Research Abstract

To establish the theory of function spaces with variable exponent, based on the study of Lebesgue spaces with variable exponent we have investigated Hardy spaces with variable exponent, generalized Campanato spaces with variable growth condition and their related function spaces. We have found a suitable definition of these function spaces and establish the theory by studying behaviour of integral operators on them.

Report

(6 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (101 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (46 results) (of which Peer Reviewed: 38 results) Presentation (53 results) Remarks (2 results)

  • [Journal Article] Hardy spaces with variable exponents and generalized Campanato spaces2012

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

      Journal of Functional Analysis

      Volume: Volume 262, Issue 9 Pages: 3665-3748

    • Related Report
      2011 Final 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: Volume 64, Number 2 Pages: 399-422

    • NAID

      10030740240

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Martingale Orlicz-Hardy spaces2012

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

      Mathematische Nachrichten

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

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012

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

      Archiv der Mathematik

      Volume: Volume 98, Number 3 Pages: 253-263

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces2012

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

      Archiv der Mathematik

      Volume: 98 Issue: 3 Pages: 253-263

    • DOI

      10.1007/s00013-012-0362-6

    • Related Report
      2011 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
      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] 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
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent2011

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

      Complex Variables and Elliptic Equations

      Volume: Vol.56, Issue 7-9 Pages: 671-695

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness of Lusin-area and g_<{lambda}> functions on localized Morrey-Campanato spaces over doubling metric measure spaces2011

    • Author(s)
      Haibo Lin, Eiichi Nakai and Dachun Yang
    • Journal Title

      Journal of Function Spaces and Applications

      Volume: Volume 9, Issue 3 Pages: 245-282

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations2011

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

      Hokkaido Mathematical Journal

      Volume: Vol.40, No.1 Pages: 67-88

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness of Lusin-area and g_<{lambda}> functions on localized BMO spaces over doubling metric measure spaces2011

    • Author(s)
      Haibo Lin, Eiichi Nakai and Dachun Yang
    • Journal Title

      Bulletin des Sciences Mathematiques

      Volume: Vol.135, No.1 Pages: 59-88

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2011

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

      Hokkaido Mathematical Journal

      Volume: 40 Pages: 187-203

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent2011

    • Author(s)
      Y.Mizuta, E.Nakai, T.Ohno, T.Shimomura
    • Journal Title

      Complex Var.Elliptic Equ.

      Volume: 56 Issue: 7-9 Pages: 671-695

    • DOI

      10.1080/17476933.2010.504837

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness of Lusin-area and $g {\lambda}^*$ functions on localized Morrey-Campanato spaces over doubling metric measure spaces2011

    • Author(s)
      Haibo Lin, Eiichi Nakai, Dachun Yang
    • Journal Title

      Journal of Function Spaces and Applications

      Volume: 9 Issue: 3 Pages: 245-282

    • DOI

      10.1155/2011/187597

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orlicz-Morrey spaces and their preduals2011

    • Author(s)
      Eiichi Nakai
    • Journal Title

      Banach and Function Spaces III, Yokohama Publishers

      Pages: 187-205

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Sobolev's inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent2011

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

      Banach and Function Spaces III, Yokohama Publishers

      Pages: 409-419

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Fractional integral operators on $B^{p,\lambda}$ with Morrey-Campana to norms2011

    • Author(s)
      Katsuo Matsuoka, Eiichi Nakai
    • Journal Title

      Function Spaces IX, Banach Center Publications

      Volume: 92 Pages: 249-264

    • DOI

      10.4064/bc92-0-17

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness of Lusin-area and $g_{¥lambda}^*$ functions on localized BMO spaces over doubling metric measure spaces2011

    • Author(s)
      Haibo Lin, 中井英一, Dachun Yang
    • Journal Title

      Bulletin des Sciences Mathematiques

      Volume: 135 Pages: 59-88

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations2011

    • Author(s)
      中井英一, 米田剛
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 40 Pages: 67-88

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pointwise multipliers of Orlicz spaces2010

    • Author(s)
      Lech Maligranda and Eiichi Nakai
    • Journal Title

      Archiv der Mathematik

      Volume: Vol.95, No.3 Pages: 251-256

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Estimates for Lusin-area and Littlewood-Paley g_<{lambda}> functions over spaces of homogeneous type2010

    • Author(s)
      Yan Meng, Eiichi Nakai and Dachun Yang
    • Journal Title

      Nonlinear Anal

      Volume: Vol.72, No.5 Pages: 2721-2736

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Journal of the Mathematical Society of Japan Vol.62

      Pages: 707-744

    • NAID

      10027870763

    • Related Report
      2010 Self-evaluation Report
  • [Journal Article] Singular and fractional integral operators on Campanato spaces with variable growth conditions2010

    • Author(s)
      中井英一
    • Journal Title

      Revista Matematica Complutense Vol.23

      Pages: 355-381

    • Related Report
      2010 Self-evaluation Report
  • [Journal Article] Generalized Hardy identity and relations to Gibbs-Wilbraham and Pinsky phenomena2010

    • Author(s)
      倉坪茂彦, 中井英一, 大坪和弥
    • Journal Title

      Journal of Functional Analysis

      Volume: 259 Pages: 315-342

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singular and fractional integral operators on Campanato spaces with variable growth conditions2010

    • Author(s)
      中井英一
    • Journal Title

      Revista Matematica Complutense

      Volume: 23 Pages: 355-381

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddings for generalized Riesz potentials2010

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 62 Pages: 707-744

    • NAID

      10027870763

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Pointwise multipliers of Orlicz spaces2010

    • Author(s)
      Lech Maligranda, 中井英一
    • Journal Title

      Archiv der Mathematik

      Volume: 95 Pages: 251-256

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimates for Lusin-area and Littlewood-Paley $g^*_{\lambda}$ functions over spaces of homogeneous type2010

    • Author(s)
      Yan Meng, 中井英一, Dachun Yang
    • Journal Title

      Nonlinear Analysis : Theory, Methods & Applications 72

      Pages: 2721-2736

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Construction of solutions for the initial value problem of a functional-differential equation of advanced type2009

    • Author(s)
      中井英一, 米田剛
    • Journal Title

      Aequationes Mathematicae 77

      Pages: 259-272

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Convergence of some truncated Riesz transforms on predual of generalized Campanato spaces and its application to a uniqueness theorem for nondecaying solutions of Navier-Stokes equations2009

    • Author(s)
      中井英一, 米田剛
    • Journal Title

      京都大学 数理解析研究所講究録 1667

      Pages: 71-79

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Predual of Campanato spaces and Riesz potentials2009

    • Author(s)
      中井英一
    • Journal Title

      京都大学 数理解析研究所講究録 1669

      Pages: 122-131

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces2009

    • Author(s)
      水田義弘, 下村哲, 曽布川拓也
    • Journal Title

      Osaka Journal of Mathematics 46

      Pages: 255-271

    • NAID

      120005986679

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A generalization of Hardy spaces H^p by using atoms2008

    • Author(s)
      Eiichi Nakai
    • Journal Title

      Acta Mathematica Sinica

      Volume: Vol.24 Pages: 1243-1268

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Orlicz-Morrey spaces and the Hardy-Littlewood maximal function2008

    • Author(s)
      Eiichi Nakai
    • Journal Title

      Studia Mathematica

      Volume: Vol.188, No.3 Pages: 193-221

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] A generalization of Hardy spaces H^p by using atoms2008

    • Author(s)
      中井英一
    • Journal Title

      Acta Mathematica Sinica 24

      Pages: 1243-1268

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Orlicz-Morrey spaces and the Hardy-Littlewood maximal function2008

    • Author(s)
      中井英一
    • Journal Title

      Studia Mathematica 188

      Pages: 193-221

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Calderon-Zygmund operators on Orlicz-Morrey spaces and modular inequalities2008

    • Author(s)
      中井英一
    • Journal Title

      Banach and Function Spaces II, Yokohama Publishers

      Pages: 393-410

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An elementary proof of Sobolev embeddings for. Riesz potentials of functionsin Morrey spaces L^{l, v, β}(G)2008

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Journal Title

      Hiroshima Mathematical Journal 38

      Pages: 425-436

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A generalization of Hardy spaces on spaces of homogeneous type2008

    • Author(s)
      中井英一
    • Journal Title

      京都大学数理解析研究所講究録 1615

      Pages: 99-106

    • Related Report
      2008 Annual Research Report
  • [Journal Article] Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent2008

    • Author(s)
      水田義弘, 下村哲
    • Journal Title

      Journal of the Mathematical Society of Japan 60

      Pages: 583-602

    • NAID

      10024331805

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integral operators on B_<{sigma}>-Morrey-Campanato spaces

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

      Revista Matematica Complutense

      Volume: (to appear)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in R^n

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

      Revista Matematica Complutense

      Volume: (to appear)

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Maximal functions、Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $\R^n$

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Revista Matematica Complutense 掲載予定

    • Related Report
      2010 Self-evaluation Report
  • [Journal Article] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Hokkaido Mathematical Journal 掲載予定

    • Related Report
      2010 Self-evaluation Report
  • [Journal Article] Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Journal Title

      Complex Variables and Elliptic Equations 掲載予定

    • Related Report
      2010 Self-evaluation 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
    • 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 Final Research Report
  • [Presentation] Maximal function and fractional integrals on martingale Morrey-Campanato spaces2012

    • Author(s)
      貞末岳,中井英一
    • Organizer
      日本数学会年会
    • 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 2011 Final 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
    • 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] Construction of slowly increasing functions2012

    • Author(s)
      安藤広, 堀内利郎, 中井英一
    • Organizer
      日本数学会年会
    • 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] 重み付きHardyの不等式の精密化について2012

    • Author(s)
      安藤広, 堀内利郎, 中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2012-03-27
    • Related Report
      2011 Annual Research Report
  • [Presentation] Martingale Morrey-Campanato spaces and fractional integrals2011

    • Author(s)
      貞末岳, 中井英一
    • Organizer
      実解析学シンポジウム2011
    • Place of Presentation
      信州大学長野キャンパス
    • Year and Date
      2011-10-06
    • Related Report
      2011 Annual Research Report
  • [Presentation] $B^{\sigma}$-function spaces and sublinear operators2011

    • Author(s)
      古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
    • Organizer
      実解析学シンポジウム2011
    • Place of Presentation
      信州大学長野キャンパス
    • Year and Date
      2011-10-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $R^<N$>2011

    • Author(s)
      水田義弘,中井英一,大野貴雄,下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      信州大学松本キャンパス
    • Year and Date
      2011-09-30
    • Related Report
      2011 Final Research Report
  • [Presentation] Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in $R^N$2011

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      信州大学松本キャンパス
    • Year and Date
      2011-09-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] Martingale Orlicz-Hardy spaces and Campanato spaces2011

    • Author(s)
      貞末岳, 宮本孝志, 中井英
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      信州大学松本キャンパス
    • Year and Date
      2011-09-28
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hardy spaces with variable exponents and generalized Campanato spaces2011

    • Author(s)
      Eiichi Nakai and Yoshihiro Sawano
    • Organizer
      8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
    • Place of Presentation
      Tabarz (Germany)
    • Year and Date
      2011-09-23
    • Related Report
      2011 Annual Research Report 2011 Final Research Report
  • [Presentation] B^{sigma}-spaces and integral operators2011

    • Author(s)
      Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai and Yoshihiro Sawano
    • Organizer
      8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
    • Place of Presentation
      Tabarz, Germany
    • Year and Date
      2011-09-20
    • Related Report
      2011 Final Research Report
  • [Presentation] $B^{\sigma}$-spaces and integral operators2011

    • Author(s)
      Yasuo Komori-Furuya, Katsuo Matsuoka, Eiichi Nakai, Yoshihiro Sawano
    • Organizer
      8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis
    • Place of Presentation
      Tabarz (Germany)
    • Year and Date
      2011-09-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] $B^{\sigma}$-function spaces2011

    • Author(s)
      古谷康雄, 松岡勝男, 中井英一, 澤野嘉宏
    • Organizer
      研究集会「ハーディー空間などに関する最近の研究について」
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2011-09-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Hardy spaces with variable exponents2011

    • Author(s)
      澤野嘉宏、中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学理工学術院
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report 2010 Self-evaluation Report
  • [Presentation] Classical operators on $B^{p,\lambda}$ spaces with Morrey-Campanato norms2011

    • Author(s)
      松岡勝男, 中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学理工学術院
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Pointwise multipliers of Orlicz spaces2011

    • Author(s)
      Lech Maligranda, 中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学理工学術院
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Martingale Orlicz-Hardy spaces2011

    • Author(s)
      貞末岳, 宮本孝志, 中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学理工学術院
    • Year and Date
      2011-03-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Martingale Morrey-Campanato spaces2011

    • Author(s)
      中井英一, 貞末岳
    • Organizer
      研究集会「バナッハ空間論の研究とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-02-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] Singular integral operators and $B^{p,\lambda}$ with Morrey-Campanato norms2011

    • Author(s)
      松岡勝男, 中井英一
    • Organizer
      研究集会「バナッハ空間論の研究とその周辺」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-02-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] $B^{¥sigma}$-Morrey-Campanato spaces and fractional integral operators2011

    • Author(s)
      中井英一
    • Organizer
      京都大学GCOE/プロジエクト「少人数国際研究協力事業」
    • Place of Presentation
      京都大学
    • Year and Date
      2011-01-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] On $B^{p,¥lambda}$ spaces with Morrey-Campanato norms2010

    • Author(s)
      松岡勝男, 中井英一
    • Organizer
      実解析学シンポジウム2010
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-11-13
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hardy spaces with variable exponents2010

    • Author(s)
      中井英一, 澤野嘉宏
    • Organizer
      実解析学シンポジウム2010
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-11-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] Martingale Orlicz-Hardy spaces2010

    • Author(s)
      宮本孝志, 中井英一, 貞末岳
    • Organizer
      実解析学シンポジウム2010
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-11-12
    • Related Report
      2010 Annual Research Report
  • [Presentation] Riesz potentials on $B^{p,¥lambda}$ with Morrey-Campanato norms2010

    • Author(s)
      松岡勝男, 中井英一
    • Organizer
      ポテンシャル論研究集会
    • Place of Presentation
      大分大学
    • Year and Date
      2010-11-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] BMO, BLO and their localized spaces on doubling metric measure spaces, and, Lusin-area and g_<lambda> functions2010

    • Author(s)
      Haibo Lin, Yan Meng,中井英一, Dachun Yang
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2011 Final Research Report
  • [Presentation] BMO, BLO and their localized spaces on doubling metric measure spaces, and, Lusin-area and $g_{¥lambda}^*$ functions2010

    • Author(s)
      Haibo Lin, Yan Meng, 中井英一, Dachun Yang
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hardy's inequality in Orlicz-Sobolev spaces of variable exponent2010

    • Author(s)
      水田義弘、中井英一、大野貴雄、下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-22
    • Related Report
      2010 Annual Research Report 2010 Self-evaluation Report
  • [Presentation] Local BMO and BLO2010

    • Author(s)
      中井英一
    • Organizer
      可換Banach環と種々の分野との交流
    • Place of Presentation
      山形大学
    • Year and Date
      2010-06-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] BMO and BLO2010

    • Author(s)
      中井英一
    • Organizer
      第3回バナジハ空間セミナー
    • Place of Presentation
      九州工業大学
    • Year and Date
      2010-04-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] Campanato spaces with variable growth conditions2010

    • Author(s)
      中井英一
    • Organizer
      日本数学会年日本数学会年会
    • Place of Presentation
      慶應義塾大学理工学部
    • Year and Date
      2010-03-27
    • Related Report
      2011 Final Research Report
  • [Presentation] Campanato spaces with variable growth conditions2010

    • Author(s)
      中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶應義塾大学理工学部
    • Year and Date
      2010-03-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Riesz transforms on generalized Hardy spaces with an application2009

    • Author(s)
      Eiichi Nakai and Tsuyoshi Yoneda
    • Organizer
      International Conference on Harmonic Analysis and Approximation Theory
    • Place of Presentation
      Beijing Normal University, China
    • Year and Date
      2009-11-21
    • Related Report
      2011 Final Research Report
  • [Presentation] Riesz transforms on generalized Hardy spaces with an application2009

    • Author(s)
      中井英一, 米田剛
    • Organizer
      International Conference on Harmonic Analysis and Approximation Theory
    • Place of Presentation
      Beijing Normal University(China)
    • Year and Date
      2009-11-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Singular and fractional integral operators on generalized Campanato spaces2009

    • Author(s)
      中井英一
    • Organizer
      実解析学シンポジウム2009
    • Place of Presentation
      城西大学
    • Year and Date
      2009-10-24
    • Related Report
      2010 Self-evaluation Report 2009 Annual Research Report
  • [Presentation] Generalized Campanato spaces and the uniqueness of nondecaying solutions for the Navier-Stokes equations2009

    • Author(s)
      中井英一, 米田剛
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Vorono\"\i-Hardy's identity, the Gibbs-Wilbraham phenomenon, the Pinsky phenomenon and the third phenomenon2009

    • Author(s)
      大坪和弥, 倉坪茂彦, 中井英一, 速水彬裕
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Orlicz-Morrey spaces and their preduals2009

    • Author(s)
      Eiichi Nakai
    • Organizer
      The 3rd International Symposium on Banach and Function Spaces 2009
    • Place of Presentation
      Kyushu Institute of Technology, Kitakyushu, Japan
    • Year and Date
      2009-09-15
    • Related Report
      2011 Final Research Report
  • [Presentation] Orlicz-Morrey spaces and their preduals2009

    • Author(s)
      中井英一
    • Organizer
      The 3rd International Symposium on Banach and Function Spaces 2009
    • Place of Presentation
      九州工業大学
    • Year and Date
      2009-09-15
    • Related Report
      2009 Annual Research Report
  • [Presentation] Orlicz-Morrey spaces2009

    • Author(s)
      Eiichi Nakai
    • Organizer
      Symposium on function spaces and their applications
    • Place of Presentation
      Beijing Normal University, China
    • Year and Date
      2009-08-26
    • Related Report
      2011 Final Research Report
  • [Presentation] Orlicz-Morrey spaces2009

    • Author(s)
      中井英一
    • Organizer
      Symposium on function spaces and their applications
    • Place of Presentation
      Beijing Normal University(China)
    • Year and Date
      2009-08-26
    • Related Report
      2009 Annual Research Report
  • [Presentation] Campanato spaces with variable growth conditions2009

    • Author(s)
      Eiichi Nakai
    • Organizer
      Symposium on function spaces and their applications
    • Place of Presentation
      Beijing Normal University, China
    • Year and Date
      2009-08-24
    • Related Report
      2011 Final Research Report
  • [Presentation] Campanato spaces with variable growth conditions2009

    • Author(s)
      中井英一
    • Organizer
      Symposium on function spaces and their applications
    • Place of Presentation
      Beijing Normal University(北京師範大学)
    • Year and Date
      2009-08-24
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Campanato spaces with variable growth conditions2009

    • Author(s)
      中井英一
    • Organizer
      Symposium on function spaces and their applications
    • Place of Presentation
      Beijing Normal University(China)
    • Year and Date
      2009-08-24
    • Related Report
      2009 Annual Research Report
  • [Presentation] Convergence of some truncated Riesz transforms on predual of generalized Campanato spaces and its application to a uniqueness theorem for nondecaying solutions of Navier-Stokes equations2009

    • Author(s)
      中井英一, 米田剛
    • Organizer
      バナッハ空間及び関数空間論における幾何学的構造の研究とその応用
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-05-21
    • Related Report
      2009 Annual Research Report
  • [Presentation] Singular and fractional integral operators on predual of Campanato spaces2009

    • Author(s)
      中井英一
    • Organizer
      日本数学会年会
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2009-03-26
    • Related Report
      2010 Self-evaluation Report 2008 Annual Research Report
  • [Presentation] Predual of Campanato spaces and Riesz potentials2009

    • Author(s)
      中井英一
    • Organizer
      Potential Theory and related Fields
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2009-02-16
    • Related Report
      2008 Annual Research Report
  • [Presentation] Singular integrals on generalized Hardy spaces2008

    • Author(s)
      中井英一
    • Organizer
      実解析学シンポジウム2008
    • Place of Presentation
      山口大学
    • Year and Date
      2008-11-08
    • Related Report
      2008 Annual Research Report
  • [Presentation] A generalization of Hardy spaces by using atoms and fractional integrals2008

    • Author(s)
      中井英一
    • Organizer
      Harmonic Analysis and its Applications at Tokyo 2008
    • Place of Presentation
      首都大学東京
    • Year and Date
      2008-10-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Boundedness of fractional integral operators on Morrey spaces and Sobolev embeddingsfor eneralized Riesz potentials2008

    • Author(s)
      水田義弘, 中井英一, 大野貴雄, 下村哲
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] A generalization of Hardy spaces and fractional integrals2008

    • Author(s)
      中井英一
    • Organizer
      International Workshop on Interpolation Theory, Function Spacesand Related opics
    • Place of Presentation
      Toledo (Spain)
    • Year and Date
      2008-09-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] A generalization of Hardy spaces by using atoms2008

    • Author(s)
      中井英一
    • Organizer
      International Workshop on Function Spaces and Applications
    • Place of Presentation
      Freyburg/Unstrut(Germany)
    • Year and Date
      2008-07-10
    • Related Report
      2008 Annual Research Report
  • [Presentation] A generalization of Hardy spaces on spaces of homogeneous type2008

    • Author(s)
      中井英一
    • Organizer
      バナッハ空間及び関数空間論の最近の進展とその応用
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-06-05
    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • URL

      http://www.osaka-kyoiku.ac.jp/~enakai/publication-j.html

    • Related Report
      2011 Final Research Report
  • [Remarks]

    • URL

      http://www.osaka-kyoiku.ac.jp/~enakai/publication-j.html

    • Related Report
      2011 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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