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Nakamura Shouhei

中村 昌平

Graduate School of Science Department of Mathematics, Assistant Professor

Research Areas

  • Natural sciences, Mathematical analysis

Professional Memberships

  • 日本数学会

Papers

  • Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality, Neal Bez,Shohei Nakamura,Hiroshi Tsuji, Journal of Functional Analysis, Elsevier BV, Vol. 285, No. 10, p. 110121-110121, 2023/11
  • Decoupling Inequality for Paraboloid Under Shell Type Restriction and Its Application to the Periodic Zakharov System, Shinya Kinoshita,Shohei Nakamura,Akansha Sanwal, Communications in Mathematical Physics, Springer Science and Business Media LLC, Vol. 404, No. 2, p. 883-926, 2023/10/20
  • Multiplier conditions for Boundedness into Hardy spaces, Loukas Grafakos,Shohei Nakamura,Hanh Van Nguyen,Yoshihiro Sawano, Annales de l'Institut Fourier, Cellule MathDoc/CEDRAM, Vol. 71, No. 3, p. 1047-1064, 2022/03/15
  • Tomography bounds for the Fourier extension operator and applications, Jonathan Bennett,Shohei Nakamura, Mathematische Annalen, Springer Science and Business Media LLC, 2021/01/12
  • Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates, Neal Bez,Sanghyuk Lee,Shohei Nakamura, Forum of Mathematics, Sigma, Cambridge University Press (CUP), Vol. 9, 2021
  • Maximal estimates for the Schrödinger equation with orthonormal initial data, Neal Bez,Sanghyuk Lee,Shohei Nakamura, Selecta Mathematica, Springer Science and Business Media LLC, Vol. 26, No. 4, 2020/09
  • Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations, Younghun Hong,Chulkwang Kwak,Shohei Nakamura,Changhun Yang, Journal of Evolution Equations, Springer Science and Business Media LLC, 2020/05/30
  • Weighted local Morrey spaces, Shohei Nakamura,Yoshihiro Sawano,Hitoshi Tanaka, Annales Academiae Scientiarum Fennicae Mathematica, Finnish Academy of Science and Letters, Vol. 45, No. 1, p. 67-93, 2020/01
  • The orthonormal Strichartz inequality on torus, Shohei Nakamura, Transactions of the American Mathematical Society, American Mathematical Society (AMS), Vol. 373, No. 2, p. 1455-1476, 2019/11/01
  • Conditions for boundedness into Hardy spaces, Loukas Grafakos,Shohei Nakamura,Hanh Van Nguyen,Yoshihiro Sawano, Mathematische Nachrichten, Wiley, Vol. 292, No. 11, p. 2383-2410, 2019/11
  • On the Strichartz estimates for orthonormal systems of initial data with regularity, Neal Bez,Younghun Hong,Sanghyuk Lee,Shohei Nakamura,Yoshihiro Sawano, Advances in Mathematics, Elsevier BV, Vol. 354, p. 106736-106736, 2019/10
  • Complex interpolation of -spaces, Denny Ivanal Hakim,Shohei Nakamura,Yoshihiro Sawano,Takuya Sobukawa, Complex Variables and Elliptic Equations, Informa UK Limited, Vol. 63, No. 4, p. 569-590, 2018/04/03
  • The Fractional Operators on Weighted Morrey Spaces, Shohei Nakamura,Yoshihiro Sawano,Hitoshi Tanaka, The Journal of Geometric Analysis, Springer Science and Business Media LLC, Vol. 28, No. 2, p. 1502-1524, 2018/04
  • New function spaces related to Morrey spaces and the Fourier transform, Shohei Nakamura,Yoshihiro Sawano, Banach Journal of Mathematical Analysis, Springer Science and Business Media LLC, Vol. 12, No. 1, p. 1-30, 2018/01
  • Complex Interpolation of Smoothness Morrey Subspaces, Denny Ivanal Hakim,Shohei Nakamura,Yoshihiro Sawano, Constructive Approximation, Springer Science and Business Media LLC, Vol. 46, No. 3, p. 489-563, 2017/12
  • A note on the Fefferman–Stein inequality on Morrey spaces, Takeshi Iida,Shohei Nakamura, Revista Matemática Complutense, Springer Science and Business Media LLC, Vol. 30, No. 3, p. 525-545, 2017/09
  • Sharpness of the Brascamp--Lieb inequality in Lorentz spaces, Neal Bez,Sanghyuk Lee,Shohei Nakamura,Yoshihiro Sawano, Electronic Research Announcements in Mathematical Sciences, American Institute of Mathematical Sciences (AIMS), Vol. 24, No. 0, p. 53-63, 2017/06
  • The singular integral operator and its commutator on weighted Morrey spaces, Shohei Nakamura,Yoshihiro Sawano, Collectanea Mathematica, Springer Science and Business Media LLC, Vol. 68, No. 2, p. 145-174, 2017/05
  • Generalized weighted Morrey spaces and classical operators, Shohei Nakamura, Mathematische Nachrichten, Wiley, Vol. 289, No. 17-18, p. 2235-2262, 2016/12
  • Generalized Morrey spaces and trace operator, Shohei Nakamura,Takahiro Noi,Yoshihiro Sawano, Science China Mathematics, Springer Science and Business Media LLC, Vol. 59, No. 2, p. 281-336, 2016/02

Misc.

  • 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), BEZ NEAL,HONG YOUNGHUN,LEE SANGHYUK,中村 昌平,澤野 嘉宏, 数理解析研究所講究録 = RIMS Kokyuroku, 京都大学数理解析研究所, No. 2143, p. 173-184, 2019/12

Awards

  • 日本数学会建部奨励賞, 2020/09

Presentations

  • Maximal estimates for the Schrodinger equation with orthonormal initial data, Fourier restriction online 2021, 2021/03
  • Maximal estimates for the Schrödinger equation with orthonormal initial data, Asia-Pacific Analysis and PDE Seminar (Online), 2020/09
  • 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, 中村昌平, 調和解析中央大セミナー, 2019/12
  • The pointwise convergence problem for the one dimensional Schrödinger equation describing infinitely many particles, Analysis seminar (University of Birmingham, UK), 2019/11
  • Tomography bounds for the Fourier extension operator, Harmonic Analysis and Non-linear Partial Differential Equations (Kyoto University), 2019/07
  • On the pointwise convergence problem to the Schr ̈odinger equation for infinitely many particles, 2019/05
  • Tomography bounds for the Fourier extension operator, 2019/03
  • Tomography bounds for the Fourier extension operator, 2019/02
  • Tomography bounds for the Fourier extension operator, 2018/12
  • Recent progress on orthonormal Strichartz inequality, 2018/10
  • Recent progress on orthonormal Strichartz inequality, Analysis seminar (University of C.A.-Universit ̈at Kiel, Germany), 2018/10
  • On the Strichartz estimates for orthonormal systems of initial data with regularity, 2017/12
  • On the Strichartz estimates for orthonormal systems of initial data with regularity, 2017/11
  • On the Strichartz estimates for orthonormal systems of initial data with regularity, 2017/11
  • On the Strichartz inequality for orthonormal system, 5th East Asian conference in Harmonic analysis and applications, Zhejiang University, China, 2017/07
  • Conditions for Boundedness of multilinear Fourier multipliers into Hardy spaces, Harmonic Analysis/PDEs Workshop (University of Birmingham, UK), 2017/03
  • The Lorentz improvement of some inequalities and related problem, 2016/11
  • Lorentz extension including improvement of some inequalities, Interactions between Harmonic and geometric analysis, 2016/11
  • Recent developments of the weight theory on Morrey spaces, 4th East Asian conference in Harmonic analysis and applications (Yonsei University, Korea), 2016/08
  • Generalized weighted Morrey spaces and classical operators, 2015/08

Academic Activities

  • 大阪大学微分方程式セミナー, 2020/09 -