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)：

Naoki Hamamoto. Sharp Hardy-Leray inequality for solenoidal fields. Journal of Functional Analysis. 2024. 287. 2. 110461
Naoki Hamamoto. Solenoidal improvement of Rellich-Hardy inequalities with power weights. Calculus of Variations and Partial Differential Equations. 2024. 63. 4. 84
Naoki Hamamoto. Sharp Uncertainty Principle inequality for solenoidal fields. Journal de Mathématiques Pures et Appliquées. 2023. 172. 202-235
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
Naoki Hamamoto, Futoshi Takahashi. Best constant of the critical Hardy-Leray inequality for curl-free fields in two dimensions. Mathematical Inequalities & Applications. 2021. 24. 2. 399-404

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MISC (1)：

Naoki Hamamoto, Futoshi Takahashi. A curl-free improvement of the Rellich-Hardy inequality with weight. 2021

Lectures and oral presentations (37)：

The Hardy's constant for curl-free vector fields on the half-plane
(2024)
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)
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)
The Poincare constant for solenoidal fields on the ball
(2023)
CKN型に類する関数不等式の制約条件付きベクトル場に対する最良定数について
(OCAMI談話会(2023年度) 2023)

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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

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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

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