Sadasue Gaku

サダスエガク | Sadasue Gaku

Affiliation and department：
Job title： Professor

Research field (1)： Basic analysis

Research keywords (1)：確率解析学・マルティンゲール理論

Research theme for competitive and other funds (12)：

2021 - 2026 平均振動量・増大度が一様でない関数空間の理論と応用
2022 - 2025 マルコフ半群に付随する分数べき積分作用素とマルティンゲール理論
2019 - 2023 種々のマルティンゲール空間とその上の分数べき積分作用素および交換子
2015 - 2020 Deepening of theory of function spaces from real and harmonic analysis and its application
2016 - 2019 Study of martingale spaces and martingale inequalities in view of real analysis

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Papers (17)：

Kohei Amagai, Eiichi Nakai, Gaku Sadasue. Generalized Fractional Integral Operators Based on Symmetric Markovian Semigroups with Application to the Heisenberg Group. Taiwanese Journal of Mathematics. 2023. 27. 1. 113-139
Ryutaro Arai, Eiichi Nakai, Gaku Sadasue. Fractional integrals and their commutators on martingale Orlicz spaces. Journal of Mathematical Analysis and Applications. 2020. 487. 2
Gaku Sadasue. Maringale Besov spaces and Triebel-Lizorkin spaces. Scientiae Mathematicae Japonicae. 2019. 82. 1. 57-82
E. Nakai, G. Sadasue. Commutators of fractional integrals on martingale Morrey spaces. Mathematical Inequalities & Applications. 2019. 22. 631-655
Eiichi Nakai, Gaku Sadasue. CHARACTERIZATIONS OF BOUNDEDNESS FOR GENERALIZED FRACTIONAL INTEGRALS ON MARTINGALE MORREY SPACES. MATHEMATICAL INEQUALITIES & APPLICATIONS. 2017. 20. 4. 929-947

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MISC (4)：

中井英一, 貞末岳. Fractional integrals on martingale spaces (関数空間の構造とその周辺). 数理解析研究所講究録. 2017. 2041. 220-226
貞末岳, 瀬尾祐貴. 算術・幾何平均の不等式の行列版を考えよう(2). 数学教育研究 = Osaka Journal of Mathematics Education. 2016. 45. 95-106
E.Nakai, G.Sadasue. Martingale Morrey-Campanato spaces and fractional integrals. Journal of Function Spaces and Applications. 2012. Article ID 673929, 29 pages
Nakai Eiichi, Sadasue Gaku. Martingale Morrey-Campanato spaces (Banach space theory and related topics). RIMS Kokyuroku. 2011. 1753. 58-66

Lectures and oral presentations (20)：

マルティンゲール空間と、分数べき積分
(日本数学会 2020)
Fractional integrals for martingales
(International Conference on Function Spaces and Geometric Analysis and Their Applications 2019)
Analysis on martingale Morrey spaces
(International Conference on Harmonic Analysis and Its Applications 2018)
Commutators of fractional integrals on martingale Morrey spaces
(日本数学会 2018)
A note on some martingale spaces
(関数空間の深化とその周辺 2018)

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Education (2)：

1994 - 2000 Kyoto University Graduate School, Division of Natural Science 数学・数理解析
- 1992 Kyoto University Faculty of Science 数学

Professional career (3)：

Work history (3)：

Association Membership(s) (1)：

日本数学会

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