MIZUHARA Takahiro 水原昴廣

… Alternative Names

水原昂廣ミスハラタカヒロ

水原昴廣

Less

Researcher Number	80006577
Affiliation (based on the past Project Information) *help	2000 – 2008: 山形大学, 理学部, 教授 1998: 教授 1995 – 1998: 山形大学, 理学部, 教授 1994: 山形大学, 教養部, 教授 1986 – 1993: 山形大学, 教養部, 助教授
Review Section/Research Field	Principal Investigator 解析学 Except Principal Investigator 解析学 / Basic analysis / Basic analysis / 代数学・幾何学 / Geometry
Keywords	Principal Investigator 正則写像 / 平均曲率ベクトル / ネバンリンナ理論 / メビウス変換 / ケーラー関数 / ケーラー多様体 / 非等質ボイリング・ヘルツ空間 / 局所ハ-ディー空間 / タイヒミュラ-空間 / ガウス曲率 … More / ケ-ラ-角度 / ディオファンティ-ン近似 / 微分方程式 / 最大作用素 / モリ-空間 … More Except Principal Investigator カオス力学系 / 値分布理論 / 有理形写像 / メビウス変換 / モリ-空間 / 極小曲面 / 除外値 / 一意性定理 / 特異積分作用素 / 交換子 / 正則写像 / ハンケル変換 / 複素力学系 / ジュリア集合 / value distribution theory / 関数空間 / 値分布論 / deficiency / 除外指数 / Julia set / unicity theorem / defect / meromorphic mapping / 擬等角写像 / ヤコビ直交関数系 / Mobious transformation / Hankel transform / Lorentz空間 / Morrey空間 / Lorentz space / Essentially definite operators / カオス写像 / ハウスドルフ次元 / 正値三角多項式 / ローレンツ空間 / complex dynamical system / function space / 力学系 / dynamical system for chaos / commutator / 有理型写像 / モリー空間 / ウェブレット理論 / ウエヴレット理論 / 測度 / 複素射影空間 / 不連続群 / カオスカ学系 / 完全正値写像 / ネヴァンリナ理論 / クリフォード数 / ケーラー角度 / ブロック / ネバンリナ理論 / weighted Hardy spaces / transplantation theorem / chaotic system / Morrev spaces / uniauness thorem / value distribuntion theory / Lorentz-Zvemund spaces / 重み付きハーディ空間 / 移植定理 / ハーディの不等式 / Sobolev空間 / 重み付きハーデイ空間 / ラゲール展開 / 平行移動不変作用素 / transplatation / chaotic map / Morrey space / Hankel transformation / Jacobi orthonormal system / 移植作用素 / ネヴアンリンナ理論 / チェザロ作用素 / complex projective space / hypersurface / probability densety function / Juia set / k-hyponormal operators / ネバリンナ理論 / 等長作用素 / フーリエ交換 / 等長写像 / 確率密度関数 / k-パイポノーマル作用素 / HYPONORMAL OPERATORS / LORENTZ SPACES / COMMUTATORS / KAC ALGEBRAS / GROUPOID C-ALGEBRAS / CHAOS DYNAMICAL SYSTEMS / POSITIVE TRIGONOMETRIC POLYNOMIALS / ESSENTIALLY MNORMAL OPERATORS / log-hyponormal operators / p-hyponormal operators / 可換標準的同型 / Simultaneous unitary dilation / 古田不等式 / Aluthge変換 / 位相的グルーポイド / 耳正規作用素 / Loventz空間 / groupuid C-algebra / 亜正規作用素 / Lobentz空間 / Kac algebra / groupuid C^algebra / 本質的正規作用素 / Banach lattice / hausdorff dimension / singular integral / rational mapping / positive trigonometric polynomial / Fourier transform / 有理型曲線 / 極限集合 / バナッハ束 / フーリエ変換 / 楕円曲線 / モーリー空間 / 射影空間 / 測度空間 / 有利形写像 / small function / moving target / 緩増加関数 / 動標的 / self-dual codes / Clifford matrix / wavelet thery / discontinuous / Hermitian Banach-algebras / Fourier multiplier / カオス / Nevanlinna理論 / Heingの不等式 / フーリエアルチプライヤー / 自己双対コード / クリフォード行列 / ウエブレット理論 / エルミート的Banach^-環 / 自己双対ユーノド / クリフォー行列 / エルシート的Banach^一環 / フーリエマルチプライヤー / multiplier / meromorphic maps / operator theory / transformation group / operator algebras / wavelets theory / chaotic dynamics / topological dynamics / 超越的有理写像 / ウェヴレット理論 / コンパクトアーベル群 / 作用素論 / マルチプライヤー / 超越的有理型写像 / 作用素不等式 / 変換群 / 作用素環 / 位相力学系 / 擬微分作用素 / 演算子 / 欠陥関係 / 演算子法 / ガウス曲率 / ケーラー多様体 / 準同型写像 / 等算ベゾフ空間 / フーリェ・マルチプライヤー / 歪曲不等式 / 概算角写像 / 代数曲面 / ネバンリンナ理論 / α次元測度 / ベロネーズ曲面 / 重みつき評価 / ヘルツ空間 / BMO / ハーディー空間 / 特異積分 / 角領域 / ネヴァンリンナ理論 / 特異方向 / 関数論 / カオスク学系 / 正規伸張 / バナッハ代数 / フーリエマルチプライヤー / フーリエ乗法因子 / 部分因子環 / 同時正規伸張 / 同時ユリタリ伸張 / クリフオード環 / ケーラー関数 / 平均曲率ベクトル / フーリェ・マルティプライヤー / リプシッツ・ベゾフ空間 / ヴェロネーズ曲面 / ディフェクト / 非等質ボイリング・ヘルツ空間 / 局所ハーディー空間 / シュワルツ微分 / ケ-ラ-角度 / モ-レイ空間 / 曲率 / モジュラス / ム-ビング・タ-ゲット Less

Study of singular integrals and function spaces
- Principal Investigator
  
  KOMORI Yasuo
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tokai University
Value distribution theory of meromorphic mappings concerningdefects and its application to uniqueness theorems
- Principal Investigator
  
  MORI Seiki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
HARMONIC ANALYSIS IN THE OPERATORS OF THE FUNCTION SPACES RELATED TO THE ORTHOGONAL SYSTEMS
- Principal Investigator
  
  SATO Enji
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
THE RESEARCH OF OPERATORS ON LORENTZ SPACES BY THE METHOD OF HARMONIC ANALYSIS
- Principal Investigator
  
  SATO Enji
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
QUANTITATIVE RESEARCH OF DEFICIENCIES OF MEROMORPFIC MAPPINGS AND EXCEPTIONAL MAPPINGS
- Principal Investigator
  
  MORI Seiki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
THE RESARCH OF PERATORS ON FUNCTION SPACES BY THE METHOD TO HARMONIC ANALYSIS AND RELATED ANALYSIS
- Principal Investigator
  
  SATO Eiji
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  YAMAGATA UNIVERSITY
RESEARCH OF A SPACE OF MEROMORPHIC MAPPINGS AND DEFICIENCIES
- Principal Investigator
  
  MORI Seiki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Yamagata University
THE RESEARCH OF OPERATORS ON FUNCTION SPACES RELATED TO HARMONIC ANALYSIS
- Principal Investigator
  
  SATO Enji
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  YAMAGATA UNIVERSITY
RESEARCHES ON SIMULTANEOUS UNITARY DILATIONS OF OPERATORS ON HILBERT SPACES
- Principal Investigator
  
  OKAYASU Takateru
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  YAMAGATA UNIVERSITY
RESEARCH OF VALUE DISTRIBUTION OF MEROMORPHIC MAPPINGS
- Principal Investigator
  
  MORI Seiki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  YAMAGATA UNIVERSITY
関数解析的手法による位相力学系の研究
- Principal Investigator
  
  KAWAMURA Shinzo
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  YAMAGATA UNIVERSITY
THE RESEARCH OF WEAK TYPE OPERATORS ON FUNCTION SPACES
- Principal Investigator
  
  SATO Enji
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  YAMAGATA UNIVERSITY
ヒルベルト空間上の作用素系の伸張(dilation)とその応用
- Principal Investigator
  
  OKAYASU Takateru
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
調和解析的手法に関数空間の研究
- Principal Investigator
  
  佐藤圓治
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
微分多様体上の解析とその周辺の研究
- Principal Investigator
  
  尾方隆司
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamagata University
多様体上の調和解析とその総合的研究Principal Investigator
- Principal Investigator
  
  水原昂廣
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
複素多様体上の解析写像とその周辺の研究
- Principal Investigator
  
  森正気
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
複素多様体および関連する解析的諸問題の研究
- Principal Investigator
  
  関川久男
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
微分多様体上の解析とその総合的研究
- Principal Investigator
  
  尾方隆司
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Yamagata University
多様体上の調和解析とその周辺の研究Principal Investigator
- Principal Investigator
  
  水原昂廣
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
多様体上の写像とその関連分野の研究
- Principal Investigator
  
  MORI Seiki
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
多様体の構造とその上の写像の研究
- Principal Investigator
  
  高橋將一
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
複素多様体上の解析とその応用
- Principal Investigator
  
  居駒和雄
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Yamagata University
微分多様体上の解析とその応用
- Principal Investigator
  
  尾方隆司
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Yamagata University

All 2007 2006 2003 Other

All Journal Article Presentation

[Journal Article] Factorization of functions in H^1(R^n) and generalized Morrey spaces2006
- Author(s)
  Komori Yasuo and Mizuhara Takahiro
- Journal Title
  
  Math. Nachr 279, no.5-6
  
  Pages: 619-624
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540156
[Journal Article] Factorization of functions in HI(Rn) and generalized Morrey spaces2006
- Author(s)
  Yasuo Komori and Takahiro Mizuhara
- Journal Title
  
  Math.Nachr 279
  
  Pages: 619-624
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540157
[Journal Article] Factorization of functions in H1(Rn) and generalized Morrey spaces2006
- Author(s)
  Yasuo, Komori・Takahiro, Mizuhara
- Journal Title
  
  Math. Nachr. 279
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540157
[Journal Article] Factorization of functions in H1(Rn) and generalized Morrey spaces2006
- Author(s)
  Yasuo Komori, Takahiro Mizuhara
- Journal Title
  
  Math.Nachr. 279
  
  Pages: 619-624
- Data Source
  KAKENHI-PROJECT-18540157
[Journal Article] Factorization of functions in $H^1(R^n)$ and generalized Morrey spaces2006
- Author(s)
  Yasuo Komori, Takahiro Mizuharao
- Journal Title
  
  Math. Nachr. 279(5-6)
  
  Pages: 619-624
- Data Source
  KAKENHI-PROJECT-18540156
[Journal Article] Notes on commutators and Morrey spaces2003
- Author(s)
  Yasuo Komori, Takahiro Mizuhara
- Journal Title
  
  Hokkaido Math.J. 32
  
  Pages: 345-357
- Data Source
  KAKENHI-PROJECT-15540151
[Journal Article] Notes on commutators and Morrey spaces2003
- Author(s)
  Komori Yasuo, Mizuhara Takahiro
- Journal Title
  
  Hokkaido Math.J. 32
  
  Pages: 345-353
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540151
[Journal Article] Factorization of functions in H^1(R^n) and generalized Morrey spaces,
- Author(s)
  Komari Yasuo, Mizuhara Takahiro
- Journal Title
  
  Math.Nachr. (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540151
[Journal Article] Factarization of functions in H1(Rn) and generalized Morrey spaces
- Author(s)
  Yasuo Komori, Takahiro Mizuhara
- Journal Title
  
  Math. Nachr. (to appear in)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540134
[Journal Article] Factarization of functions in H1(Rn) and generalized Morrey spaces
- Author(s)
  Yasuo Komori, Takahiro Mizuhara
- Journal Title
  
  Math.Nachr. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540134
[Journal Article] Factorization of functions in H^1(R^n) and generalized Morrey spaces
- Author(s)
  Yasuo Komori, Takahiro Mizuhara
- Journal Title
  
  Math.Nachr. (発表予定)
- Data Source
  KAKENHI-PROJECT-15540151
[Journal Article] Factorization of functions in H^1(R^n)and generalized Morrey spaces
- Author(s)
  KOMORI Yasuo, MIZUHARA Takahiro
- Journal Title
  
  Math.Nachr. (掲載予定)
- Data Source
  KAKENHI-PROJECT-15540151
[Journal Article] Factorization of functions in H^1(R^n) and generalized Morrey spaces
- Author(s)
  Komori Yasuo, Mizuhara Takahiro
- Journal Title
  
  Math. Nachr. (掲載予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540151
[Journal Article] Factorization of functions in H1 (Rn) and generalized Morrey spaces
- Author(s)
  Y.Komori, T.Mizuhara
- Journal Title
  
  Math.Nachr. (to appear)
- Data Source
  KAKENHI-PROJECT-16540134
[Presentation] Hardy-Littlewood maximal functions and Sobolev spaces2007
- Author(s)
  T. Mizuhara, Y. Nakamura
- Organizer
  Harmonic Analysis seminar
- Place of Presentation
  Kusatu seminar house
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540157
[Presentation] Hardy-Littlevood maximal functions and Sobolev spaces2007
- Author(s)
  水原昂廣・中村有作
- Organizer
  調和解析セミナー
- Place of Presentation
  草津セミナーハウス
- Year and Date
  2007-12-25
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540157
[Presentation] Some problems in the theory of weight functions for some weighted Hardy operators2006
- Author(s)
  水原昂廣・小林大樹・中居洋介
- Organizer
  調和解析セミナー
- Place of Presentation
  大阪教育大学天王寺キャンパス
- Year and Date
  2006-12-26
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540157
[Presentation] Some problems in the theory of weight fumctions for some weighted Hardy operators2006
- Author(s)
  T. Mizuhara, D. Kobayashi, Y. Nakai
- Organizer
  Harnonie Analysis seminar
- Place of Presentation
  Osaka Kyoiku Univ.
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540157

1. MORI Seiki (80004456)

# of Collaborated Projects: 21 results

# of Collaborated Products: 13 results
2. SATO Enji (80107177)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
3. KAWAMURA Shinzo (50007176)

# of Collaborated Projects: 14 results

# of Collaborated Products: 0 results
4. 尾方隆司 (10042425)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
5. 高橋将一 (70003986)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
6. NAKADA Masami (20007173)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
7. OKAYASU Takateru (60005775)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
8. 関川久男 (20137491)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
9. AIHARA Yoshihiro (60175718)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. 居駒和雄 (80007096)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. SANO Takashi (20250912)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. ISHIZAKI Katsuya (60202991)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. TOHGE Kazuya (30260558)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
14. TODA Nobushige (30004295)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
15. KANJIN Yuichi (50091674)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
16. 中井英一 (60259900)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. 立澤一哉 (80227090)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. KOMORI Yasuo (70234903)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. UCHIDA Fuichi (90028126)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. TOMIYAMA Jun (30006928)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. KAZAMA Hideaki (10037252)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. CHO Muneo (10091620)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. MIYACHI Akihiko (60107696)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 平吹慎吉 (70007136)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 安達謙三 (70007764)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MIZUHARA Takahiro 水原 昴廣

水原 昂廣 ミスハラ タカヒロ

水原 昴廣

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MIZUHARA Takahiro 水原昴廣

水原昂廣ミスハラタカヒロ

水原昴廣