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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

  • 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.

  • Multiplier conditions for Bound- edness into Hardy spaces, L. Grafakos,S. Nakamura,H. V. Nguyen,Y. Sawano, 2017/02

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 -