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TANAKA Hitoshi  田中 仁

ORCIDConnect your ORCID iD *help
Researcher Number 70422392
Other IDs
Affiliation (Current) 2023: 筑波技術大学, 障害者高等教育研究支援センター, 講師
Affiliation (based on the past Project Information) *help 2016 – 2022: 筑波技術大学, 障害者高等教育研究支援センター, 講師
2016: 筑波技術大学, 学内共同利用施設等, 講師
2015: 東京大学, 数理(科)学研究科(研究院), 助教
2014: 東京大学, 大学院数理科学研究科, 特任助教
2012 – 2013: 東京大学, 数理(科)学研究科(研究院), 助教
2011 – 2012: 東京大学, 数理(科)学研究科(研究院), 特任助教
2011: 東京大学, 大学院・数理科学研究科, 特任助教
Review Section/Research Field
Principal Investigator
Basic analysis / Basic Section 12010:Basic analysis-related
Except Principal Investigator
Basic analysis / Basic Section 12010:Basic analysis-related / Basic Section 12020:Mathematical analysis-related
Keywords
Principal Investigator
正作用素 / 最大作用素 / Morrey space / Morrey空間 / 加重付ノルム不等式 / 加重の理論 / Hausdorff content / L^p空間 / Orlicz空間 / 共役空間 … More / sparse作用素 / 分数べき作用素 / Fefferman-Stein型不等式 / n重線形埋蔵定理 / 荷重の理論 / wieghted norm inequality / Riesz potential / positibe operator / 分数積分作用素 / martinngale / 方向極大作用素 / 多重Morreyノルム / 多重線形分数積分作用素 / Olsenの加重付きノルム不等式 / 二つの加重付きノルム不等式 / 斉次測度空間 / fractional integrals / maximal operator / n-linear embedding / weight theory / Fefferman-Stein型荷重不等式 / 分数ベキ積分作用素 / 埋蔵定理 / 多重線形作用素 / 多重線形正作用素 / 多重Wolffポテンシャル / Orlicz-Morrey空間 / Hardy-Littlewood最大作用素 / 分数べき積分作用素 / ノルム不等式 / 特異積分作用素 … More
Except Principal Investigator
関数空間 / 調和解析 / 擬微分作用素 / 実関数論 / モレー空間 / ベゾフ空間 / 補間理論 / 複素補間 / 特異積分 / 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 / 多重線形作用素 / BMO / 偏微分方程式 / 特異積分作用素 / 最大関数 / 解析学 / 関数解析学 / 実解析 / 分数階積分作用素 / 再生核ヒルベルト空間 / 積分不等式 / 再生核 / 積分変換 / 不等式 / 分数べき積分作用素 / sparse分解 / コンパクト性 / 関数解析 / 関数方程式 Less
  • Research Projects

    (8 results)
  • Research Products

    (114 results)
  • Co-Researchers

    (14 People)
  •  調和解析における実関数論の方法とその応用

    • Principal Investigator
      宮地 晶彦
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tokyo Woman's Christian University
  •  The theory of weights, evolution and refinementPrincipal Investigator

    • Principal Investigator
      田中 仁
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Tsukuba University of Technology
  •  A refinement and development of mathematical analysis by means of function spaces

    • Principal Investigator
      Sawano Yoshihiro
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Chuo University
      Tokyo Metropolitan University
  •  Harmonic Analysis by the methods of real analysis

    • Principal Investigator
      Miyachi Akihiko
    • Project Period (FY)
      2016 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  A new development of Fourier analysis-Theory of decompositions and its applications

    • Principal Investigator
      Sawano Yoshihiro
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Metropolitan University
  •  The weight theory under some recent innovationsPrincipal Investigator

    • Principal Investigator
      Tanaka Hitoshi
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tsukuba University of Technology
      The University of Tokyo
  •  Harmonic analysis by real variable methods and its applications

    • Principal Investigator
      MIYACHI Akihiko
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Morrey spaces and weighted norm inequalitiesPrincipal Investigator

    • Principal Investigator
      TANAKA Hitoshi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      The University of Tokyo

All 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

  • [Journal Article] Dual of the Choquet spaces with general Hausdorff content2022

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

      Studia Math., to appear

      Volume: ?

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03510
  • [Journal Article] Two-weight norm inequalities for product fractional integral operators2021

    • Author(s)
      Tanaka Hitoshi
    • Journal Title

      Bulletin des Sciences Mathematiques

      Volume: 166 Pages: 102940-102940

    • DOI

      10.1016/j.bulsci.2020.102940

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20H01815
  • [Journal Article] Two-weight norm inequalities for product fractional integral operators2021

    • Author(s)
      Tanaka H.
    • Journal Title

      Bull. Sci Math., 166

      Volume: 166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03510
  • [Journal Article] Weighted local Morrey spaces2020

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

      Annales Academiae Scientiarum Fennicae Mathematica

      Volume: 45 Pages: 67-93

    • DOI

      10.5186/aasfm.2020.4504

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05306, KAKENHI-PROJECT-19K03546
  • [Journal Article] Dual of the Choquet spaces with abstract Hausdorff content2019

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

      preprint

      Volume: -

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Two-weight norm inequalities for product fractional integral operators2019

    • Author(s)
      Tanaka H.
    • Journal Title

      preprint

      Volume: -

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] The Fefferman?Stein Type Inequalities for Strong Fractional Maximal Operators2019

    • Author(s)
      Saito Hiroki、Tanaka Hitoshi
    • Journal Title

      Results in Mathematics

      Volume: 74 Pages: 1-20

    • DOI

      10.1007/s00025-018-0927-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-16K05209
  • [Journal Article] The n-linear embedding theorem for dyadic rectangles2019

    • Author(s)
      Tanaka Hitoshi、Yabuta Kozo
    • Journal Title

      Annales Academiae Scientiarum Fennicae Mathematica

      Volume: 44 Pages: 29-39

    • DOI

      10.5186/aasfm.2019.4404

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] Block Decomposition and Weighted Hausdorff Content2019

    • Author(s)
      Saito Hiroki、Tanaka Hitoshi、Watanabe Toshikazu
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 63 Pages: 141-156

    • DOI

      10.4153/s000843951900033x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03510, KAKENHI-PROJECT-19K14577, KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-15K04918
  • [Journal Article] Dual of the Choquet spaces with abstract Hausdorff content2019

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

      preprint

      Volume: -

    • Data Source
      KAKENHI-PROJECT-19K03510
  • [Journal Article] The Fefferman--Stein type inequalities for strong and directional maximal operators in the plane2018

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

      Canadian Mathematical Bulletin

      Volume: 61 Pages: 191-200

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] A note on Carleson embedding theorems2018

    • Author(s)
      Cao M., Tanaka H., Xue Q. and Yabuta K.
    • Journal Title

      Publicationes Mathematicae Debrecen

      Volume: to appear

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] A note on Carleson embedding theorems2018

    • Author(s)
      Cao Mingming、Tanaka Hitoshi、Xue Qingying、Yabuta Kozo
    • Journal Title

      Publicationes Mathematicae Debrecen

      Volume: 93 Pages: 517-523

    • DOI

      10.5486/pmd.2018.8309

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] A remark on modified Morrey spaces on metric measure spaces2018

    • Author(s)
      SAWANO Yoshihiro、SHIMOMURA Tetsu、TANAKA Hitoshi
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 47 Pages: 1-15

    • DOI

      10.14492/hokmj/1520928055

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] Fractional maximal operators with weighted Hausdorff content2018

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

      Positivity

      Volume: online Pages: 1-14

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] The n-linear embedding theorem for dyadic rectangles2018

    • Author(s)
      Tanaka H. and Yabuta K.
    • Journal Title

      Ann. Acad. Sci. Fenn. Math.

      Volume: to appear

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] A remark on modified Morrey spaces on metric measure spaces2018

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

      Hokkaido Math. J.

      Volume: 47 Pages: 1-15

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Fractional maximal operators with weighted Hausdorff content2018

    • Author(s)
      Saito Hiroki、Tanaka Hitoshi、Watanabe Toshikazu
    • Journal Title

      Positivity

      Volume: 23 Pages: 125-138

    • DOI

      10.1007/s11117-018-0598-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] The Fefferman-Stein type inequalities for strong fractional maximal operators2018

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

      Results in Math.

      Volume: to appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Weighted local Morrey spaces2018

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

      Ann. Acad. Sci. Fenn. Math.

      Volume: to appear

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Morrey type space and its Kothe dual space2018

    • Author(s)
      Mastylo M., Sawano Y. and Tanaka H.
    • Journal Title

      Bulletin of the Malaysian Mathematical Sciences Society.

      Volume: 41 Pages: 1181-1198

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane2018

    • Author(s)
      齋藤洋樹, 田中仁
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: 印刷中 Pages: 191-200

    • DOI

      10.4153/cmb-2017-024-x

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K17551, KAKENHI-PROJECT-16H03943
  • [Journal Article] Morrey-type Space and Its Kothe Dual Space2018

    • Author(s)
      Mastylo Mieczyslaw、Sawano Yoshihiro、Tanaka Hitoshi
    • Journal Title

      Bulletin of the Malaysian Mathematical Sciences Society

      Volume: 41 Pages: 1181-1198

    • DOI

      10.1007/s40840-016-0382-7

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] The fractional operators on weighted Morrey spaces2017

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

      The Journal of Geometric Analysis

      Volume: online Pages: 1-23

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Morrey type space and its Kothe dual space2017

    • Author(s)
      Mastylo M., Sawano Y. and Tanaka H.
    • Journal Title

      Bulletin of the Malaysian Mathematical Sciences Society

      Volume: -

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] General maximal operators and the reverse Holder classes.2017

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

      Annales Academiae Scientiarum Fennicae Mathematica

      Volume: 42 Pages: 1-25

    • DOI

      10.5186/aasfm.2017.4227

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16H03943, KAKENHI-PROJECT-15K17551
  • [Journal Article] Muckenhoupt-Wheeden conjectures for fractional integral operators2017

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

      J. Math. Anal. Appl.

      Volume: 449 Pages: 456-463

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane2017

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

      Canadian Mathematical Bulletin

      Volume: -

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Two-weight Morrey norm inequality and the sequential testing2017

    • Author(s)
      Tanaka H.
    • Journal Title

      RIMS Kkyroku Bessatsu.

      Volume: -

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Muckenhoupt-Wheeden conjectures for fractional integral operators2017

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

      Journal of Mathematical Analysis and Applications

      Volume: -

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] General maximal operators and the Reverse H\"{o}lder classes2017

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

      Ann. Acad. Sci. Fenn. Math.

      Volume: 42 Pages: 367-391

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] General maximal operators and the Reverse Holder classes2017

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

      Ann. Acad. Sci. Fenn. Math.

      Volume: -

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Muckenhoupt-Wheeden conjectures for fractional integral operators2017

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

      Journal of Mathematical Analysis and Applications

      Volume: 449 Pages: 456-463

    • DOI

      10.1016/j.jmaa.2016.11.074

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] The n-linear embedding theorem2016

    • Author(s)
      Tanaka H.
    • Journal Title

      Potential Anal.

      Volume: 44 Pages: 793-809

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Morrey type space and its Kothe dual space2016

    • Author(s)
      M. Mastlo, Y. Sawano and H. Tanaka,
    • Journal Title

      Bull. Malaysian Mathematical Society

      Volume: 電子版 Pages: 1-20

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05209
  • [Journal Article] Abstract dyadic cubes, maximal operators and Hausdorff content2016

    • Author(s)
      齋藤洋樹,田中仁, 渡辺俊一
    • Journal Title

      Bulletin des Sciences Mathematiques

      Volume: 未定

    • DOI

      10.1016/j.bulsci.2016.02.001

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K17551, KAKENHI-PROJECT-16H03943
  • [Journal Article] Dyadic Hausdorff content and the dyadic Hardy-Littlewood maximal operator2016

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

      Bull. Sci Math.

      Volume: 140 Pages: 757-773

    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] The n linear embedding theorem2016

    • Author(s)
      H. Tanaka
    • Journal Title

      Potential Analysis

      Volume: 44

    • DOI

      10.1007/s11118-015-9531-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Journal Article] Littlewood-Paley theory for Morrey spaces and their preduals2015

    • Author(s)
      Izumi T., Sawano Y. and Tanaka H.
    • Journal Title

      Rev. Mat. Complut.

      Volume: 28 Pages: 411-447

    • Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] The trilinear embedding theorem2015

    • Author(s)
      Tanaka H.
    • Journal Title

      Studia Math.

      Volume: 227 Pages: 238-249

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] The Fatou property of block spaces2015

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

      J. Math. Sci. Univ. Tokyo

      Volume: 22 Pages: 663-683

    • NAID

      120005819509

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Two-weight norm inequalities on Morrey spaces2015

    • Author(s)
      Tanaka H.
    • Journal Title

      Ann. Acad. Sci. Fenn. Math.

      Volume: 40 Pages: 773-791

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Journal Article] Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in Orlicz-Morrey spaces2014

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

      Appl. Anal.

      Volume: 93

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • DOI

      10.12732/ijam.v27i3.8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] Directional maximal operators and radial weights on the plane2014

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

      Bull. Austral. Math. Soc., online

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [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

    • DOI

      10.1007/s11118-013-9379-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [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 Pages: 356-368

    • DOI

      10.1080/00036811.2013.772582

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-23340034
  • [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 Anal., online

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Atomic decomposition for M orrey spaces2014

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

      Z. Anal. Anwend

      Volume: 33, No. 2 Pages: 149-170

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • DOI

      10.4171/zaa/1504

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [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

    • DOI

      10.1017/s0004972713000804

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in O rlicz-M orrey spaces2014

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

      Appl. Anal

      Volume: 93, No. 2 Pages: 356-368

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Directional maximal operators and radial weights on the plane2014

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

      Bull. Austral. Math. Soc

      Volume: 89, No. 2 Pages: 397-414

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • DOI

      10.1007/s00013-013-0585-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] Positive operators and maximal operators in a filtered measure space2013

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

      J. Funct. Anal.

      Volume: 264

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] The local trace inequality for potential type integral operators2013

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

      Potential Anal.

      Volume: 38

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • DOI

      10.1080/00036811.2011.636357

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] On the uniqueness of weak solutions of the $3D$ M H D equations in the Orlicz-Morrey space2013

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

      Appl. Anal

      Volume: 92, No. 4 Pages: 776-783

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Two-weight norm inequalities for potential type integral operators in the2013

    • Author(s)
      H. Tanaka
    • Journal Title

      Studia Math.

      Volume: 216

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] A characterization for the boundedness of positive operators in a filtered measure space2013

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

      Arch. Math. (Basel)

      Volume: 101

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Positive operators and maximal operators in a filtered measure space2013

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

      J. Funct. Anal

      Volume: 264, No. 4 Pages: 920-946

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

      Appl. Anal.

      Volume: 92

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • DOI

      10.4064/sm216-1-1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] A bilinear estimate for commutators of fractional integral operators2013

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

      RIM S Kkyroku Bessatsu B43 : Potential Theory and its Related Fields ed. K. Hirata

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] The local trace inequality for potential type integral operators2013

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

      Potential Analysis

      Volume: 38

    • DOI

      10.1007/s11118-012-9291-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] Two-weight norm inequalities for potential type integral operators in the case p>q>0 and p>12013

    • Author(s)
      Tanaka H
    • Journal Title

      Studia Math

      Volume: 216, No. 1 Pages: 1-15

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] The local trace inequality for potential type integral operators2013

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

      Potential Anal.

      Volume: 38

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] A characterization for the boundedness of positive operators in a filtered measure space2013

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

      Arch. Math. (Basel)

      Volume: 101, No. 6 Pages: 559-568

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Positive operators and maximal operators in a filtered measure space2013

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

      J. Funct. Anal.

      Volume: 264

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Positive operators and maximal operators in a filtered measure space2013

    • Author(s)
      Yutaka Terasawa
    • Journal Title

      Journal of Functional Analysis

      Volume: 264 Pages: 920-946

    • DOI

      10.1016/j.jfa.2012.12.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-11J07115, KAKENHI-PROJECT-23340034
  • [Journal Article] The local trace inequality for potential type integral operators2013

    • Author(s)
      Tanaka H . and G unawan H
    • Journal Title

      Potential Anal

      Volume: 38, No. 2 Pages: 653-681

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Multilinear fractional integrals on Morrey spaces2012

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

      Acta Math. Sin. (Engl. Ser.)

      Volume: 28, No. 7 Pages: 1375-1384

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • DOI

      10.1007/s11117-011-0129-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [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

    • DOI

      10.2298/pim1206127g

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034, KAKENHI-PROJECT-24540159
  • [Journal Article] Orlicz-M orrey spaces and fractional operators2012

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

      Potential Anal

      Volume: 36, No. 4 Pages: 517-556

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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, No. 2 Pages: 339-358

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Orlicz-Morrey spaces and fractional operators2012

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

      Potential Analysis

      Volume: 36 Pages: 517-556

    • DOI

      10.1007/s11118-011-9239-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] A new Beale-Kato-Majda criteria for the 3D magneto-micropolar fluid equations in Orlicz-Morrey spaces2012

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

      Math. Methods Appl. Sci.

      Volume: 35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] A new Beale-Kato-Majda criteria for the 3D magneto-micropolar fluid equations in Orlicz-Morrey spaces2012

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

      Math. Methods Appl. Sci.

      Volume: 35 Pages: 1321-1334

    • DOI

      10.1002/mma.2535

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23224003, KAKENHI-PROJECT-23340034
  • [Journal Article] Orlicz-Morrey spaces and fractional operators2012

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

      Potential Anal.

      Volume: 36

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Generalized Stummel class and M orrey spaces2012

    • Author(s)
      Gunawan H ., Nakai E., Sawano Y. and Tanaka H
    • Journal Title

      Publ. Inst. Math. (Beograd) (N.S.)

      Volume: 92(106) Pages: 127-138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] A new Beale-Kato-M ajda criteria for the 3D magneto-micropolar fluid equations in Orlicz-Morrey spaces2012

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

      Math. Methods Appl. Sci

      Volume: 35, No. 11 Pages: 1321-1334

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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

    • DOI

      10.1007/s10114-012-0617-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Journal Article] Weighted norm inequalities for multilinear fractional operators on Morrey space2011

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

      Studia Math., 205 (2011), no.2, 139--170.

      Volume: 205 Pages: 139-170

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] Weighted norm inequalities for multilinear fractional operators on Morrey spaces2011

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

      Studia Math

      Volume: 205, No. 2 Pages: 139-170

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Journal Article] A characterization of two-weight trace inequalities for positive dyadic operators in the upper triangle case

    • Author(s)
      Tanaka H
    • Journal Title

      Potential Anal., online

    • Data Source
      KAKENHI-PROJECT-23540187
  • [Presentation] A remark on the human readable TeX2021

    • Author(s)
      H. Tanaka
    • Organizer
      The 4th International Workshop on "Digitization and E-Inclusion in Mathematics and Science 2021" (DEIMS2021), 18-20 February 2021 at Nihon University in Tokyo, Japan.
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03510
  • [Presentation] Two-weight norm inequalities for product fractional integral operators2018

    • Author(s)
      Hitoshi Tanaka
    • Organizer
      The 6th East Asian Conference in Harmonic analysis and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] 掛谷の問題2018

    • Author(s)
      田中仁
    • Organizer
      第71回 ENCOUNTER with MATHEMATICS「フーリエ・カールソンから21世紀の調和解析へ」
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] Two-weight norm inequalities for product fractional integral operators2018

    • Author(s)
      田中仁
    • Organizer
      6st East Asian Conference in Harmonic analysis and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] The n-linear embedding theorem for dyadic rectangles2017

    • Author(s)
      田中仁
    • Organizer
      名古屋大学微分方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] The n-linear embedding theorem for dyadic rectangles2017

    • Author(s)
      田中仁
    • Organizer
      筑波大学解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] The Fefferman-Stein type inequalities for strong fractional maximal operators2017

    • Author(s)
      田中仁
    • Organizer
      5st East Asian Conference in Harmonic analysis and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] The Fefferman-Stein type inequalities for strong fractional maximal operators2017

    • Author(s)
      Hitoshi Tanaka
    • Organizer
      The 5th East Asian Conference in Harmonic Analysis and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] The Carleson type embedding inequality for dyadic rectangles2017

    • Author(s)
      Hitoshi Tanaka
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] The Carleson type embedding inequality for dyadic rectangles2017

    • Author(s)
      田中仁
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] The n-linear embedding theorem for dyadic rectangles2017

    • Author(s)
      田中仁
    • Organizer
      名古屋大学微分方程式セミナー
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] The Fefferman-Stein type inequality for strong maximal operator in the heigher dimensions2016

    • Author(s)
      H. Tanaka
    • Organizer
      Interactions between Harmonic and Geometric Analysis,
    • Place of Presentation
      Saitama University Satellite Campus Tokyo Station College
    • Year and Date
      2016-11-30
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] Muckenhoupt-Wheeden conjectures for fractional integral operators2016

    • Author(s)
      H. Tanaka
    • Organizer
      International Workshop on Harmonic Analysis and its Applications in Beijing 2016
    • Place of Presentation
      Beihang University (北京、中国)
    • Year and Date
      2016-10-01
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] Muckenhoupt-Wheeden conjectures for fractional integral operators2016

    • Author(s)
      H. Tanaka
    • Organizer
      International Workshop on Harmonic Analysis and its Applications in Beijing 2016
    • Place of Presentation
      Beihang University, China
    • Year and Date
      2016-09-29
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] The n linear embedding theorem2016

    • Author(s)
      H. Tanaka
    • Organizer
      4th East Asian Conference in Harmonic analysis and Applications
    • Place of Presentation
      Yonsei University (ソウル、韓国)
    • Year and Date
      2016-08-04
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16H03943
  • [Presentation] The $n$ linear embedding theorem2016

    • Author(s)
      H. Tanaka
    • Organizer
      4st East Asian Conference in Harmonic analysis and Applications 2016
    • Place of Presentation
      Yonsei University, Korea.
    • Year and Date
      2016-08-01
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] General maximal operators and the Reverse Holder classes2015

    • Author(s)
      Tanaka H.
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-11-27
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] Two-weight Morrey norm inequality and the sequential testing2015

    • Author(s)
      Tanaka H.
    • Organizer
      Frontiers of Singular Integrals - HAWorkshop2015 - University of Helsinki Confluence
    • Place of Presentation
      University of Helsinki
    • Year and Date
      2015-06-05
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04918
  • [Presentation] A characterization of two weight trace inequalities for positive dyadic operators in the upper triangle case2013

    • Author(s)
      Tanaka H
    • Organizer
      1st East Asian Conference in Harmonic analysis and Applications, Seoul
    • Place of Presentation
      Koria
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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
    • Invited
    • Data Source
      KAKENHI-PROJECT-23340034
  • [Presentation] A characterization for the boundedness of positive operators in a filtered measure space2012

    • Author(s)
      Tanaka H.
    • Organizer
      Harmonic Analysis and its Applications at Tokyo
    • Place of Presentation
      首都大学東京
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Presentation] A characterization for the boundedness of positive operators in a filtered measure space2012

    • Author(s)
      Tanaka H
    • Organizer
      Harmonic Analysis and its Applications at Tokyo
    • Data Source
      KAKENHI-PROJECT-23540187
  • [Presentation] Morrey spaces and weights2011

    • Author(s)
      Tanaka H
    • Organizer
      Harmonic Analysis and its Applications at Nara
    • Data Source
      KAKENHI-PROJECT-23540187
  • [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
    • Data Source
      KAKENHI-PROJECT-23340034
  • 1.  SAWANO Yoshihiro (40532635)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 16 results
  • 2.  MIYACHI Akihiko (60107696)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  FURUYA Yasuo (70234903)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  TOMITA Naohito (10437337)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  TSUTSUI Yohei (40722773)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  KOBAYASHI Masaharu (30516480)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  OKADA Masami (00152314)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  NAKAI Eiichi (60259900)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 9.  中村 昌平 (30896121)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  KIKUCHI Masato (20204836)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  SATO Shuichi (20162430)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 5 results
  • 12.  TACHIZAWA Kazuya (80227090)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  飯田 毅士 (60633435)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  齋藤 洋樹
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 4 results

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