Rchr
J-GLOBAL ID：200901017067652949
Update date: Jul. 17, 2024
Miyachi Akihiko
ミヤチ アキヒコ | Miyachi Akihiko
Affiliation and department：
Homepage URL (1)：
http://lab.twcu.ac.jp/miyachi/
Research field (1)：
Mathematical analysis
Research keywords (3)：
関数解析
, 実関数論
, 調和解析
Research theme for competitive and other funds (47)：
- 2020 - 2025 Real variable methods in Harmonic analysis and their applications
- 2015 - 2020 Deepening of theory of function spaces from real and harmonic analysis and its application
- 2016 - 2020 Harmonic Analysis by the methods of real analysis and their applications
- 2011 - 2015 Harmonic analysis by real variable methods and their applications
- 2009 - 2011 A study of harmonic analysis in orthogonal expansions
- 2006 - 2009 Harmonic analysis by real variable methods and its applications
- 2007 - 2008 A study of harmonic analysis in orthogonal expansions
- 2007 - 2008 Study of nonlinear boundary value problems by topological methods
- 2006 - 2007 Study of Multilinear singular Integral and Littlewood-Paley Operator
- 2006 - 2007 HARMONIC ANALYSIS IN THE OPERATORS OF THE FUNCTION SPACES RELATED TO THE ORTHOGONAL SYSTEMS
- 2004 - 2007 Study on algorithms for D-modules
- 2005 - 2006 A study of harmonic analysis for orthogonal expansions
- 2004 - 2006 Numerical harmonic analysis and its applications to image analysis and computational mathematics
- 2004 - 2006 Inverse problems in Mathematical Biology, Chemistry and Technology
- 2002 - 2005 特異積分とその応用
- 2001 - 2003 Study on Algorithms for D-Modules.
- 2001 - 2003 Singular Integral Operators and Nonlinear Problems
- 2001 - 2002 種々の関数空間における因数分解の研究
- 2000 - 2001 Study for 3-mainfolds and knots, links and graphs contained in them
- 1999 - 2000 Study on Algorithms for D-Modules
- 1999 - 2000 Comprehensive Study of Real Analysis and Functional Analysis
- 1998 - 2000 SINGULAR INTEGRALS AND REAL ANALYSIS
- 1997 - 1999 Functional and Real Analysis for Partial Differential Equations
- 1997 - 1998 Research on singular integral operators and function spaces
- 1996 - 1996 振動積分作用素と最大関数の研究
- 1996 - 1996 二次体の上の不分岐拡大について
- 1995 - 1995 3次元・4次元多様体の位相幾何学的研究
- 1994 - 1995 Researches in complex analysis and harmonic analysis
- 1994 - 1994 オプション価格理論への確率解析の応用
- 1994 - 1994 多値論理関数のクローン束の構造の解析
- 1993 - 1994 Comprehensive study of real analysis and functional analysis
- 1993 - 1993 証明論の基礎的研究
- 1993 - 1993 フラクタル上の確率過程の研究
- 1993 - 1993 種々の関数空間とその応用の研究
- 1992 - 1992 離散的問題に対する計算量の解析
- 1992 - 1992 Mathieu群を中心とする単純群の研究
- 1991 - 1991 実関数論的方法による調和解析
- 1991 - 1991 代数的組合せ論における直交多項式の研究
- 1991 - 1991 函数解析と調和解析の総合的研究
- 1990 - 1990 計算理論の数学的基礎の研究
- 1988 - 1988 実関数論の方法による調和解析の一般化
- 1987 - 1987 数学基礎論のアルゴリズムへの応用
- 1987 - 1987 組合せ論的考察を中心とする群の研究
- 1986 - 1986 計算理論の基礎的研究
- 1986 - 1986 ホロノミックなDx加群の不確定度について
- 1981 - 1981 多変数関数のH^pクラスとNevanlinnaクラスの研究
- 1980 - 1980 特異積分と関数空間の理論の実関数論的研究
Show all
Papers (17)：
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Tomoya Kato, Akihiko Miyachi, Naohito Tomita. Estimates for some bilinear wave operators. Revista Matemática Iberoamericana. 2024. 40. 4. 1571-1608
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Tomoya Kato, Akihiko Miyachi, Naohito Tomita. Boundedness of bilinear pseudo-differential operators of S0,0-type in Wiener amalgam spaces and in Lebesgue spaces. Journal of Mathematical Analysis and Applications. 2022. 515. 1. 126382-126382
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Tomoya Kato, Akihiko Miyachi, Naohito Tomita. Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class S0,0. Journal of Functional Analysis. 2022. 282. 4. 109329-109329
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Akihiko Miyachi, Naoto Shida, Naohito Tomita. Limited smoothness conditions with mixed norms for bilinear Fourier multipliers. Collectanea Mathematica. 2021. 72. 2. 307-332
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Tomoya KATO, Akihiko MIYACHI, Naohito TOMITA. Boundedness of multilinear pseudo-differential operators of $S_{0,0}$-type in $L^2$-based amalgam spaces. Journal of the Mathematical Society of Japan. 2021. 73. 2
ｍore...
MISC (45)：
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Akihiko Miyachi, Fabio Nicola, Silvia Rivetti, Anita Tabacco, Naohito Tomita. ESTIMATES FOR UNIMODULAR FOURIER MULTIPLIERS ON MODULATION SPACES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2009. 137. 11. 3869-3883
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Akihiko Miyachi, Fabio Nicola, Silvia Rivetti, Anita Tabacco, Naohito Tomita. ESTIMATES FOR UNIMODULAR FOURIER MULTIPLIERS ON MODULATION SPACES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2009. 137. 11. 3869-3883
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Akihiko Miyachi. Change of variables for weighted Hardy spaces on a domain. HOKKAIDO MATHEMATICAL JOURNAL. 2009. 38. 3. 519-555
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Masaharu Kobayashi, Akihiko Miyachi, Naohito Tomita. Embedding relations between local Hardy and modulation spaces. STUDIA MATHEMATICA. 2009. 192. 1. 79-96
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Akihiko Miyachi. Change of variables for weighted Hardy spaces on a domain. Hokkaido Mathematical Journal. 2009. 38. 3. 519-555
ｍore...
Works (2)：
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実解析と関数解析の総合的研究
1999 - 2000
-
Comprehensive Study of Real Analysis and Functional Analysis
1999 - 2000
Education (2)：
- 1974 - 1976 The University of Tokyo Graduate School of Science
- 1970 - 1974 The University of Tokyo Faculty of Science Department of Mathematics
Professional career (1)：
- Doctor of Science (The University of Tokyo)
Work history (5)：
- 2020/06 - 現在 Tokyo Woman's Christian University
- 1995/04 - 2020/03 Tokyo Woman's Christian University Professor
- 1985/11 - 1995/03 Hitotsubashi University Faculty of Social Sciences Associate Professor
- 1983/04 - 1985/10 Hitotsubashi University Faculty of Social Sciences Lecturer
- 1976/04 - 1983/03 The University of Tokyo Faculty of Science Research Assistant
Association Membership(s) (2)：
日本数学会
, Mathematical Society of Japan
