Square function characterizations of real and ergodic \(H^1\) spaces

DOI10.3103/S1066369X23040023OpenAlexW4385640486MaRDI QIDQ6093936

Sakin Demir

Publication date: 12 September 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23040023

zbMATH Keywords

Hardy spacecharacterizationergodic averageergodic square functionergodic Hardy space\({{H}^1}\) spaceergodic \({{H}^1}\) space

Mathematics Subject Classification ID

Stochastic processes (60Gxx) Harmonic analysis in several variables (42Bxx) Measure-theoretic ergodic theory (28Dxx)

Cites Work

• Unnamed Item
• Reverse inequalities
• On the integrability of the martingale square function
• A remark on the Birkhoff ergodic theorem
• An atomic theory of ergodic $H^{p}$ spaces
• Martingale Transforms
• Square functions in ergodic theory
• INTEGRABILITY OF ERGODIC SQUARE FUNCTION

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