Rchr
J-GLOBAL ID：202001021337313683
Update date: Nov. 23, 2024
Hamamoto Naoki
Hamamoto Naoki
Affiliation and department：
Job title：
Specially Appointed Research Associate
Research field (1)：
Mathematical analysis
Research keywords (7)：
Functional inequalities
, Best Constant
, Variational Problems
, Harmonic Analysis
, Vector fields
, Hardy-Leray type inqautlities
, Uncertainty Principle inequality
Research theme for competitive and other funds (3)：
- 2022 - 2027 The sharpness of CKN-type inequalities for vector fields
- 2023 - 2024 制約条件付きベクトル場に対する種々の最良型関数不等式
- 2021 - 2024 制約条件付きベクトル場に対する種々の最良型関数不等式
Papers (13)：
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Naoki Hamamoto. A note on the 1-D minimization problem related to solenoidal improvement of the uncertainty principle inequality. Archiv der Mathematik. 2024. 123. 6. 653-662
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Naoki Hamamoto. Sharp Hardy-Leray inequality for solenoidal fields. Journal of Functional Analysis. 2024. 287. 2. 110461
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Naoki Hamamoto. Solenoidal improvement of Rellich-Hardy inequalities with power weights. Calculus of Variations and Partial Differential Equations. 2024. 63. 4. 84
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Naoki Hamamoto. Sharp Uncertainty Principle inequality for solenoidal fields. Journal de Mathématiques Pures et Appliquées. 2023. 172. 202-235
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Naoki Hamamoto. Sharp Rellich-Leray inequality with any radial power weight for solenoidal fields. Calculus of Variations and Partial Differential Equations. 2021. 60. 2. 65
ｍore...
MISC (1)：
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Naoki Hamamoto, Futoshi Takahashi. A curl-free improvement of the Rellich-Hardy inequality with weight. 2021
Lectures and oral presentations (34)：
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球体上の渦無し場に対するHardy不等式の最良L2型補正項について
(日本数学会 2024年度秋季総合分科会 函数方程式論分科会一般講演, 大阪大学 2024)
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The Hardy's constant for curl-free vector fields on the half-plane
(2024)
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ソレノイダル場に対する Rellich-Hardy 不等式について
(若手研究者による実解析と偏微分方程式 2023)
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制約条件付きベクトル場に対する関数不等式の最良定数について
(「応用解析」研究会定例セミナー 2023)
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The Poincare constant for solenoidal fields on the ball
(2023)
ｍore...
Education (6)：
Professional career (1)：
- Doctor of Science (Osaka City University)
Work history (8)：
- 2023/04 - 現在 Osaka Central Advanced Mathematical Institute Member
- 2023/04 - 現在 Osaka Metropolitan University Graduate School of Science Specially Appointed Research Associate
- 2022/04 - 2024/03 Osaka Metropolitan University Faculty of Liberal Arts, Sciences and Global Education Part-Time Teacher
- 2021/04 - 2023/03 Osaka Prefecture University Graduate School of Science Research Fellow of Japan Society for the Promotion of Science
- 2021/04 - 2022/03 Osaka Prefecture University Osaka Prefecture University, Faculty of Liberal Arts and Sciences Part-Time Teacher
- 2020/04 - 2021/03 Osaka City University Advanced Mathematical Institute Member
- 2020/09 - 2021/02 Osaka Prefecture University Faculty of Liberal Arts and Sciences Part-Time Teacher
- 2010/04 - 2011/02 大阪府立三国ヶ丘高等学校 スーパーサイエンス・ハイスクール 課題研究ティーチングアシスタント (数学班)
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Awards (4)：
- 2022/03 - Osaka City University Advanced Mathematical Institute OCAMI Association Special Prize Best constants in Hardy-type and uncertainty inequalities for constrained vector fields
- 2020/02 - Osaka City University Advanced Mathematical Institute OCAMI Association Thesis Prize
- 2019/08 - Osaka City University Award for Presentation Excellence, The 13th KNU-OCU-PNU Joint Workshop for graduate students on Mathematics Sharp Hardy-Leray and Rellich-Leray inequalities for solenoidal fields
- 2018/07 - Pusan National University Award for Young Mathematician, The 12th KNU-OCU-PNU Joint Workshop for graduate students on Mathematics Sharp Hardy-Leray inequality for vector-valued functions with differential constraints
Association Membership(s) (1)：
The Mathematical Society of Japan
