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J-GLOBAL ID：202001017554324602 Update date: Mar. 17, 2025

Nakamura Shohei

ナカムラショウヘイ | Nakamura Shohei

Research field (1)： Mathematical analysis

Research keywords (1)：関数空間論,フーリエ解析,幾何学的不等式

Research theme for competitive and other funds (5)：

2021 - 2023 工学的アイデアを用いた調和解析学における未解決問題へのアプローチ
2019 - 2023 New perspectives on space-time estimates for dispersive equations
2020 - 2023 関数空間論的アプローチによる調和解析学の未解決問題の研究
2019 - 2022 A refinement and development of mathematical analysis by means of function spaces
2017 - 2020 作用素の有界性を中心とした関数空間の研究と偏微分方程式への応用

Papers (24)：

D. Cordero-Erausquin, N. Gozlan, S. Nakamura, H. Tsuji. Duality and Heat flow. Advances in Mathematics. 2025. 467. 110161-110161
Shohei Nakamura, Yoshihiro Sawano. A Note on Carlen-Jauslin-Lieb-Loss’s Convolution Inequality f≥f∗f. Journal of Geometric Analysis. 2025. 35. 2
Shohei Nakamura, Hiroshi Tsuji. Hypercontractivity beyond Nelson’s time and its applications to Blaschke Santal\’{o} inequality and inverse Santal\’{o} inequality. Amer. J. Math. 2024
Neal Bez, Shohei Nakamura. Regularized Brascamp--Lieb inequalities. Analysis & PDE. 2024
Neal Bez, Shohei Nakamura, Hiroshi Tsuji. Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality. Journal of Functional Analysis. 2023. 285. 10. 110121-110121

MISC (1)：

BEZ NEAL, HONG YOUNGHUN, LEE SANGHYUK, 中村昌平, 澤野嘉宏. 滑らかさを加味した直交ストリッカーツ評価 (関数空間の一般化とその周辺). 数理解析研究所講究録 = RIMS Kokyuroku. 2019. 2143. 173-184

Lectures and oral presentations (20)：

Maximal estimates for the Schrodinger equation with orthonormal initial data
(Fourier restriction online 2021 2021)
Maximal estimates for the Schrödinger equation with orthonormal initial data
(Asia-Pacific Analysis and PDE Seminar (Online) 2020)
フーリエ拡張作用素に対する重み付き不等式へのX-rayトモグラフィーによるアプローチ
(調和解析中央大セミナー 2019)
The pointwise convergence problem for the one dimensional Schrödinger equation describing infinitely many particles
(Analysis seminar (University of Birmingham, UK) 2019)
Tomography bounds for the Fourier extension operator
(Harmonic Analysis and Non-linear Partial Differential Equations (Kyoto University) 2019)

Professional career (1)：

Awards (1)：

Association Membership(s) (1)：

日本数学会

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