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Izuki Mitsuo  出耒 光夫

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IZUKI Mitsuo  出来 光夫

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Researcher Number 80507179
Other IDs
Affiliation (Current) 2025: 東京都市大学, 共通教育部, 准教授
Affiliation (based on the past Project Information) *help 2019 – 2022: 東京都市大学, 共通教育部, 准教授
2018: 岡山大学, 教育学研究科, 准教授
2016 – 2017: 岡山大学, 教育学研究科, 講師
2014 – 2015: 岡山大学, 教育学研究科(研究院), 講師
2012 – 2013: 東京電機大学, 工学部, 助教
Review Section/Research Field
Principal Investigator
Basic analysis
Keywords
Principal Investigator
ウェーブレット / 変動指数解析 / BMO / 変動指数 / 1変数複素解析 / Bergman変換 / Herz空間 / John-Nirenbergの不等式 / モジュラー不等式 / Muckenhouptの荷重 … More / Muckenhouptの理論 / 変動指数Herz空間 / BMOノルムの一般化 / 変動指数Muckenhoupt条件 Less
  • Research Projects

    (2 results)
  • Research Products

    (42 results)
  •  A study on wavelets and function spaces with variable exponent based on real analysisPrincipal Investigator

    • Principal Investigator
      Izuki Mitsuo
    • Project Period (FY)
      2015 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo City University
      Okayama University
  •  A real analytic study on wavelets and variable exponent analysisPrincipal Investigator

    • Principal Investigator
      IZUKI Mitsuo
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Okayama University
      Tokyo Denki University

All 2020 2019 2018 2017 2016 2015 2014 2013 2012 Other

All Journal Article Presentation Other

  • [Journal Article] Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent2020

    • Author(s)
      出耒光夫,野ケ山徹,野井貴弘,澤野嘉宏
    • Journal Title

      Nonlinear Analysis

      Volume: 198 Pages: 1-13

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane2019

    • Author(s)
      出耒光夫, 小山剛史, 野井貴弘, 澤野嘉宏
    • Journal Title

      Mathematical Notes

      Volume: 106 Pages: 229-234

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Some modular inequalities in Lebesgue spaces with variable exponent on the complex plane2019

    • Author(s)
      Mitsuo Izuki, Takeshi Koyama, Takahiro Noi, and Yoshihiro Sawano
    • Journal Title

      Mathematical Notes

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Two Weighted Herz Spaces with Variable Exponents2019

    • Author(s)
      出耒光夫, 野井貴弘
    • Journal Title

      Bulletin of the Malaysian Mathematical Sciences Society

      Volume: 43 Pages: 169-200

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces on domains2019

    • Author(s)
      出耒光夫, 野井貴弘
    • Journal Title

      Mathematische Nachrichten

      Volume: 292 Pages: 2212-2251

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO2019

    • Author(s)
      出耒光夫, 野井貴弘, 澤野嘉宏
    • Journal Title

      Journal of Inequalities and Applications

      Volume: 268 Pages: 1-11

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] A simple estimate of the Bloch constant2018

    • Author(s)
      Mitsuo Izuki, Takeshi Koyama, Takahiro Noi, and Tatsuki Takeuchi
    • Journal Title

      Communications in Mathematical Analysis

      Volume: 21 Pages: 35-41

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] An elementary proof of the Caratheodory kernel convergence theorem2018

    • Author(s)
      Mitsuo Izuki and Takeshi Koyama
    • Journal Title

      Azerbaijan Journal of Mathematics

      Volume: 8 Pages: 69-85

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] An intrinsic square function on weighted Herz spaces with variable exponent2017

    • Author(s)
      Mitsuo Izuki, Takahiro Noi
    • Journal Title

      Journal of Mathematical Inequalities

      Volume: 11 Pages: 799-816

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Characterization of BMO via ball Banach function spaces2017

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

      Vestnik St. Petersburg University: Mathematics

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Complex interpolation of grand Lebesgue spaces2017

    • Author(s)
      Denny Ivanal Hakim, Mitsuo Izuki and Yoshihiro Sawano
    • Journal Title

      Monatshefte fur Mathematik

      Volume: 184 Pages: 245-272

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Characterization of BMO via ball Banach function spaces2017

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

      Vestnik Sankt-Peterburgskogo Universiteta. Matematica Mekhanika. Astronomiya

      Volume: 4(62) Pages: 78-86

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Boundedness of fractional integrals on weighted Herz spaces with variable exponent,2016

    • Author(s)
      Mitsuo Izuki, Takahiro Noi
    • Journal Title

      Journal of Inequalities and Applications

      Volume: 199 Pages: 1-16

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Hardy spaces associated to critical Herz spaces with variable exponent2016

    • Author(s)
      Mitsuo Izuki, Takahiro Noi
    • Journal Title

      Mediterranean Journal of Mathematics

      Volume: 13 Pages: 2981-3013

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] The Hardy{Littlewood maximal operator on some critical weighted Herz spaces with variable exponent2016

    • Author(s)
      Mitsuo Izuki, Takahiro Noi
    • Journal Title

      Jaen Journal on Approximation

      Volume: 8 Pages: 97-112

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Another proof of characterization of BMO via Banach function spaces2016

    • Author(s)
      Mitsuo Izuki
    • Journal Title

      Revista de la Union Matematica Argentina

      Volume: 57 Pages: 103-109

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent2015

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

      Annales Academia Scientiarum Fennica Mathematica

      Volume: 40 Pages: 551-571

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Journal Article] The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent2014

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

      RIMS Kokyuroku Bessatsu

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Function spaces with variable exponents-an introduction-2014

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

      Scientiae Mathematicae Japonicae

      Volume: 77 Pages: 187-315

    • NAID

      130007643061

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [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: 未定

    • NAID

      130007643061

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Duality of Besov, Triebel-Lizorkin and Herz spaces with variable exponents2014

    • Author(s)
      Mitsuo Izuki, Takahiro Noi
    • Journal Title

      Rendiconti del Circolo Matematio di Palermo (2)

      Volume: 63 Pages: 221-245

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Variable Lebesgue norm estimates for BMO functtions. II2014

    • Author(s)
      Mitsuo Izuki, Yoshihiro Sawano, Yohei Tsutsui
    • Journal Title

      Analysis Mathematica

      Volume: 40 Pages: 215-230

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Hardy spaces with variable exponent2014

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

      RIMS Kokyuroku Bessatsu

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Remarks on Muckenhoupt weights with variable exponent2014

    • Author(s)
      Mitsuo Izuki
    • Journal Title

      Journal of Analysis and Applications

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Duality of Besov, Triebel-Lizorkin and Herz spaces with variable exponents2014

    • Author(s)
      Mitsuo Izuki and Takahiro Noi
    • Journal Title

      Rendiconti del Circolo Matematico di Palermo

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] The Hardy-Littlewood maximal operator on Lebesgue spaces with variable exponent2013

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

      RIMS Kokyuroku Bessatsu

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Hardy spaces with variable exponent2013

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

      RIMS Kokyuroku Bessatsu

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] A criterion of sampling theorems on Banach function spaces2013

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

      Tokyo Journal of Mathematics

      Volume: 36 Pages: 131-145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] Function spaces with variable exponents -an Introduction-2013

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

      調和解析セミナー別冊

      Volume: 別冊

    • NAID

      130007643061

    • Data Source
      KAKENHI-PROJECT-24540185
  • [Journal Article] A criterion of sampling theorems on Banach function spaces2013

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

      Tokyo Journal of Mathematics

      Volume: 未定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Presentation] ウェーブレット係数による解析関数の特徴付け2019

    • Author(s)
      出耒 光夫
    • Organizer
      東京都市大学 調和解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Presentation] Banach 関数空間による BMO ノルムの一般化2019

    • Author(s)
      出耒 光夫
    • Organizer
      東京都市大学 調和解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Presentation] 変動指数解析の近年の発展と課題2018

    • Author(s)
      出耒 光夫
    • Organizer
      RIMS共同研究「関数空間の一般化とその周辺」
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Presentation] An intrinsic square function on weighted Herz spaces with variable exponent2015

    • Author(s)
      出耒光夫
    • Organizer
      調和解析駒場セミナー
    • Place of Presentation
      東京大学
    • Year and Date
      2015-07-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Presentation] Characterization of BMO via Banach function spaces2015

    • Author(s)
      Mitsuo Izuki
    • Organizer
      Harmonic Analysis and its Applications in Tokyo 2015
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-11-28
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04928
  • [Presentation] 変動指数をもつ種々の関数空間の実解析的研究2014

    • Author(s)
      出来光夫
    • Organizer
      日本数学会
    • Place of Presentation
      学習院大学(東京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Presentation] ウェーブレットと変動指数Muckenhoupt条件2014

    • Author(s)
      出耒光夫
    • Organizer
      岡山解析・確率論セミナー
    • Place of Presentation
      岡山大学理学部
    • Year and Date
      2014-04-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Presentation] Boundedness of some integral operators and commutators on generalized Herz spaces with variable exponents2012

    • Author(s)
      出来光夫
    • Organizer
      広島大学ポテンシャル論セミナー
    • Place of Presentation
      広島大学(広島県)
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Presentation] 変動指数を含む種々の函数空間の実解析的研究

    • Author(s)
      出来光夫
    • Organizer
      大阪市立大学数学研究所 2012年度数学研究会特別賞受賞講演
    • Place of Presentation
      大阪市立大学(大阪府)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540185
  • [Presentation] Hardy-Littlewoodの最大作用素とMuceknhoupt条件

    • Author(s)
      出来光夫
    • Organizer
      茨城大学先端科学トピック
    • Place of Presentation
      茨城大学水戸キャンパス(茨城県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540185
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