Rchr
J-GLOBAL ID：200901041681955611
Update date: Apr. 09, 2024
SHIMOMURA Katsunori
シモムラ カツノリ | SHIMOMURA Katsunori
Affiliation and department：
Job title：
Professor
Research field (1)：
Basic analysis
Research keywords (2)：
parabolic Bergman space
, caloric morphism
Research theme for competitive and other funds (3)：
- 2020 - 2025 A new refinement allowing infinite-order degeneration and explosion of weighted classical inequalities and its application to variational problems
- 2019 - 2023 Potential theory for parabolic equations and related function spaces
- 2016 - 2020 古典的不等式の精密化に基づく非線型楕円型方程式の定性的研究
Papers (25)：
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Yôsuke Hishikawa, Masaharu Nishio, Katsunori Shimomura, Masahiro Yamada. A remark on the dual spaces of bi-parabolic Bergman spaces. Mathematical Journal of Ibaraki University. 2023. 55. 1-16
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Katsunori Shimomura. Rational function and time transformation of caloric morphism on semi-euclidean spaces. Mathematical Journal of Ibaraki University. 2021. 53. 35-42
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Y. Hishikawa, M. Nishio, K. Shimomura, M. Yamada. Function spaces induced by two parabolic Bloch spaces. Hiroshima Mathematical Journal. 2021. 51. 3. 247-265
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M. Nishio, K. Shimomura. Reproducing property for iterated parabolic operators of fractional order. Mathematical Reports (Bucuresti). 2021. 23. 211-226
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Katsunori Shimomura. Existence and non-existence of caloric morphisms with Bateman space-mapping for radial metrics. Mathematical Journal of Ibaraki University. 2019. 51. 1-12
ｍore...
MISC (3)：
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Shimomura Katsunori, Suzuki Noriaki, Nishio Masaharu. $\alpha$-parabolic Bergman spaces and their reproducing kernels (Applications of the theory of reproducing kernels). RIMS Kokyuroku. 2004. 1352. 106-113
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Katsunori Shimomura. A Characterization of the Inner NTA Domain by the Quasi-hyperbolic metric. Bulletin of the Faculty of Science Ibaraki University. 1992. 24. 31-37-37
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Katsunori Shimomura. A note on the definition of inner NTA domain. Bulletin of the Faculty of Science Ibaraki University. 1991. 23. 31-37-51
Books (3)：
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関数解析の基礎
内田老鶴圃 2005 ISBN:9784753600991
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線形代数入門
内田老鶴圃 2002 ISBN:9784753600984
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複素解析の基礎
内田老鶴圃 2001 ISBN:9784753600977
Lectures and oral presentations (31)：
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A remark on the dual spaces of bi-parabolic Bergman spaces
(2022年度ポテンシャル論研究集会 2023)
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半Euclid空間上のcaloric morphismの時間変換と実有理関数
(日本数学会2022年度年会 2022)
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半ユークリッド空間上の Caloric morphism の時間変換と実有理関数
(2021年度ポテンシャル論研究集会 2022)
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ユークリッド空間上の caloric morphism の時間変換
(2019年度ポテンシャル論研究集会 2019)
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Caloric morphism - 熱方程式の解を保つ変換
(日本数学会2019年度秋季総合分科会 特別講演 2019)
ｍore...
Professional career (2)：
- Master of Science (Nagoya University)
- Ph.D. (Nagoya University)
Work history (5)：
- 2022/04 - 茨城大学理学部評議員
- 2012/04 - Professor, Ibaraki University
- 2000/01 - 2012/03 Associate Professor, Ibaraki University
- 1997/04 - 1999/12 Lecturer, Ibaraki University
- 1987/10 - 1997/03 Assistant, Ibaraki University
Committee career (2)：
- 2017/05 - 現在 茨城県教育委員会 緑岡高等学校SSH運営指導委員
- 2019/04 - 2023/03 日本数学会 函数論分科会委員
Association Membership(s) (1)：
Mathematical Society of Japan
