Oscillation inequalities on real and ergodic \(H^1\) spaces

DOI10.3103/S1066369X23030039zbMath1522.42036arXiv2006.13216OpenAlexW4384911853MaRDI QIDQ6047509

Sakin Demir

Publication date: 12 September 2023

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

Full work available at URL: https://arxiv.org/abs/2006.13216

zbMATH Keywords

Hardy spaceergodic averageoscillation operatorergodic Hardy space\({{H}^1}\) spaceergodic \({{H}^1}\) space

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25) Ergodic theory of linear operators (47A35) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Stochastic integrals (60H05)

Cites Work

• Individual ergodic theorem for normal operators in \(L_ 2\).
• A remark on the Birkhoff ergodic theorem
• An atomic theory of ergodic $H^{p}$ spaces
• A THEOREM ON THE CONVERGENCE ALMOST EVERYWHERE OF A SEQUENCE OF MEASURABLE FUNCTIONS, AND ITS APPLICATIONS TO SEQUENCES OF STOCHASTIC INTEGRALS
• Oscillation in ergodic theory

This page was built for publication: Oscillation inequalities on real and ergodic \(H^1\) spaces