Gaku Sadasue

(貞末岳)

Profile Information

Affiliation: Professor, Division of Math, Sciences, and Information Technology in Education, Osaka Kyoiku University

Degree: 修士（理学）(京都大学)
(BLANK)(Kyoto University)
博士(理学)(京都大学)

Researcher number: 40324884
J-GLOBAL ID: 200901083782759443
researchmap Member ID: 1000306966

Research Interests

確率解析学・マルティンゲール理論

Research Areas

Natural sciences / Basic analysis / Basic Analysis

Research History

Education

Apr, 1994 - Mar, 2000

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

数学, Faculty of Science, Kyoto University

Papers

Generalized Fractional Integral Operators Based on Symmetric Markovian Semigroups with Application to the Heisenberg Group

Kohei Amagai, Eiichi Nakai, Gaku Sadasue

Taiwanese Journal of Mathematics, 27(1) 113-139, Jan 17, 2023 Peer-reviewed
Fractional integrals and their commutators on martingale Orlicz spaces

Ryutaro Arai, Eiichi Nakai, Gaku Sadasue

Journal of Mathematical Analysis and Applications, 487(2), 2020 Peer-reviewed
Maringale Besov spaces and Triebel-Lizorkin spaces

Gaku Sadasue

Scientiae Mathematicae Japonicae, 82(1) 57-82, Jun, 2019 Peer-reviewed
Commutators of fractional integrals on martingale Morrey spaces

E. Nakai, G. Sadasue

Mathematical Inequalities & Applications, 22 631-655, Apr, 2019 Peer-reviewed
CHARACTERIZATIONS OF BOUNDEDNESS FOR GENERALIZED FRACTIONAL INTEGRALS ON MARTINGALE MORREY SPACES

Eiichi Nakai, Gaku Sadasue

MATHEMATICAL INEQUALITIES & APPLICATIONS, 20(4) 929-947, Oct, 2017 Peer-reviewed
SOME NEW PROPERTIES CONCERNING BLO MARTINGALES

Eiichi Nakai, Gaku Sadasue

TOHOKU MATHEMATICAL JOURNAL, 69(2) 183-194, Jun, 2017 Peer-reviewed
Pointwise multipliers on martingale Campanato spaces

Eiichi Nakai, Gaku Sadasue

STUDIA MATHEMATICA, 220(1) 87-100, 2014 Peer-reviewed
Maximal function on generalized martingale Lebesgue spaces with variable exponent

Eiichi Nakai, Gaku Sadasue

STATISTICS & PROBABILITY LETTERS, 83(10) 2168-2171, Oct, 2013 Peer-reviewed
Martingale Morrey-Hardy and Campanato-Hardy Spaces

Eiichi Nakai, Gaku Sadasue, Yoshihiro Sawano

JOURNAL OF FUNCTION SPACES AND APPLICATIONS, (1753) Art. ID 690258, 14 pages, 2013 Peer-reviewed
Martingale Orlicz-Hardy spaces

Takashi Miyamoto, Eiichi Nakai, Gaku Sadasue

MATHEMATISCHE NACHRICHTEN, 285(5-6) 670-686, Apr, 2012 Peer-reviewed
Fractional integrals on martingale Hardy spaces for 0<p≦1

G. Sadasue

Memoirs of Osaka Kyoiku University, 59(1) 1-9, 2011
On quasi-invariance of infinite product measures

Gaku Sadasue

JOURNAL OF THEORETICAL PROBABILITY, 21(3) 571-585, Sep, 2008 Peer-reviewed
A non quasi-invariance of the Brownian motion on loop groups

G Sadasue

OSAKA JOURNAL OF MATHEMATICS, 41(4) 949-960, Dec, 2004 Peer-reviewed
A remark on the equivalence of infinite product measures

Memoirs of Osaka Kyoiku University, 52(2) 173-179, 2004
A note on oscillatoly integrals on an Abstract Wiener space

Sadasue Gaku

Memoirs of Osaka Kyoiku University, 52(1) 1-11, 2003
On Absolute continuity of the Gibbs measure under translations

G Sadasue

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 41(2) 257-276, Jul, 2001 Peer-reviewed
Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups

G Sadasue

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 35(4) 653-662, Dec, 1995 Peer-reviewed

Misc.

Fractional integrals on martingale spaces (関数空間の構造とその周辺)

中井英一, 貞末岳

数理解析研究所講究録, (2041) 220-226, Jul, 2017
算術・幾何平均の不等式の行列版を考えよう(2)

貞末岳, 瀬尾祐貴

数学教育研究 = Osaka Journal of Mathematics Education, (45) 95-106, 2016
Martingale Morrey-Campanato spaces and fractional integrals

E.Nakai, G.Sadasue

Journal of Function Spaces and Applications, Article ID 673929, 29 pages, 2012 Peer-reviewed
Martingale Morrey-Campanato spaces (Banach space theory and related topics)

Nakai Eiichi, Sadasue Gaku

RIMS Kokyuroku, 1753 58-66, Aug, 2011

Presentations

マルティンゲール空間と、分数べき積分

日本数学会, Sep, 2020, 日本数学会 Invited
Fractional integrals for martingales

G. Sadasue

International Conference on Function Spaces and Geometric Analysis and Their Applications, Sep, 2019 Invited
Analysis on martingale Morrey spaces

Gaku Sadasue

International Conference on Harmonic Analysis and Its Applications, Jun, 2018 Invited
Commutators of fractional integrals on martingale Morrey spaces

日本数学会, Mar, 2018
A note on some martingale spaces

貞末岳

関数空間の深化とその周辺, Feb, 2018

Professional Memberships

日本数学会

Research Projects

平均振動量・増大度が一様でない関数空間の理論と応用

科学研究費助成事業, 日本学術振興会, Apr, 2021 - Mar, 2026

中井英一, 松岡勝男, 堀内利郎, 貞末岳, 米田剛, 澤野嘉宏
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

科学研究費助成事業, 日本学術振興会, Apr, 2022 - Mar, 2025

貞末岳
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

科学研究費助成事業, 日本学術振興会, Apr, 2019 - Mar, 2023

貞末岳, 中井英一
Deepening of theory of function spaces from real and harmonic analysis and its application

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2015 - Mar, 2020

Nakai Eiichi
Study of martingale spaces and martingale inequalities in view of real analysis

Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2019

Sadasue Gaku

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