Rchr
J-GLOBAL ID:200901050565521603   Update date: Apr. 06, 2024

Sato Shuichi

サトウ シユウイチ | Sato Shuichi
Affiliation and department:
Research field  (1): Basic analysis
Research theme for competitive and other funds  (28):
  • 1978 - 2034 調和解析
  • 1978 - 2034 harmonic analysis
  • 2020 - 2023 フーリエ積分と特異積分に関する基礎的・応用的研究
  • 2016 - 2020 Research on Fourier integrals and singular interals
  • 2015 - 2018 Study of singular integrals and Triebel-Lizorkin spaces associated to surfaces
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Papers (68):
  • Shuichi Sato. Littlewood-Paley functions under sharp kernel conditions. Mediterr. J. Math. 2024. 21. 33
  • Shuichi Sato. Weighted inequalities for Fourier multiplier operators of Bochner-Riesz type on R^2. Acta Math. Hungar. 2023. 171. 301-324
  • Shuichi Sato. Characterization of some function spaces by square functions. Kyoto Univ. RIMS Kôkyûroku 2250, Theory of function spaces and related topics. 2023. 2250. 175-194
  • Shuichi Sato. Sobolev spaces and functions of Marcinkiewicz type with repeated averaging operations over spheres. Partial Differ. Equ. Appl. 3, 66 (2022). https://doi.org/10.1007/s42985-022-00203-1. 2022
  • Shuichi Sato. Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type. Studia Mathematica, Published online 24 June 2022, 26 pages,. 2022. 267. 3. 295-320
more...
MISC (5):
  • Shuichi Sato. On decomposition of neighborhood of a circular cone related to principal curvatures. 16 pages, arXiv:2312.15876 [math.CA]. 2023
  • Shuichi Sato. Egoroff's theorem for families of functions with continuous parameter. 2 pages, finalized May 2, 2023. 2023
  • Shuichi Sato. Harmonic analysis with proofs. 19 pages, finalized Feb. 1, 2023. 2023
  • Shuichi Sato. Results in estimates for $k$-plane transforms. arXiv:2010.03275v2 [math.CA]. 2021
  • Shuichi Sato. Construction of Brownian motion on the Wiener measure space. 14 pages. 2019
Lectures and oral presentations  (34):
  • Characterization of some function spaces by square functions
    (RIMS 共同研究(公開型) 関数空間論とその周辺 (Research Institute for Mathematical Sciences) 2019)
  • Littlewood-Paley function characterization of Hardy spaces on homogeneous groups
    (International Conference on Harmonic Analysis and Its Applications, University of Chinese Academy of Sciences, Yanqi Lake, Beijing, China 2018)
  • Functions of Marcinkiewicz type and Sobolev spaces
    (Hokkaido University, Monday Analysis Seminar, 16:30-17:30 2017)
  • Mapping properties of some square functions with Riesz potentials
    (Hokkaido University, Monday Analysis Seminar, 15:00-16:00 2017)
  • Square functions of Marcinkiewicz type and Sobolev spaces
    (調和解析セミナー2017 2017)
more...
Professional career (1):
  • 理学博士 (東北大学)
Association Membership(s) (3):
American Mathematical Society ,  日本数学会 ,  Mathematical Society of Japan
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