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 (20)：
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
Shinya Kinoshita, Shohei Nakamura, Akansha Sanwal. Decoupling Inequality for Paraboloid Under Shell Type Restriction and Its Application to the Periodic Zakharov System. Communications in Mathematical Physics. 2023. 404. 2. 883-926
Loukas Grafakos, Shohei Nakamura, Hanh Van Nguyen, Yoshihiro Sawano. Multiplier conditions for Boundedness into Hardy spaces. Annales de l'Institut Fourier. 2022. 71. 3. 1047-1064
Jonathan Bennett, Shohei Nakamura. Tomography bounds for the Fourier extension operator and applications. Mathematische Annalen. 2021
Neal Bez, Sanghyuk Lee, Shohei Nakamura. Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates. Forum of Mathematics, Sigma. 2021. 9
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)
