The converse of the dominated ergodic theorem

DOI10.1016/0022-247X(79)90034-9zbMath0411.28024OpenAlexW2003526411MaRDI QIDQ1259709

Karl E. Petersen

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90034-9

zbMATH Keywords

maximal functionprobability spaceZygmund classmaximal ergodic theoremdominated ergodic theoremmaximal ergodic inequalityone-parameter ergodic flowRising Sun Lemma

Mathematics Subject Classification ID

One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (1)

An ergodic maximal equality for nonsingular flows and applications

Cites Work

• A remark on the Birkhoff ergodic theorem
• On the integrability of the supremum of ergodic ratios
• Inequalities for the ergodic maximal function
• Successive Conditional Expectations of an Integrable Function
• On the class LlogL, martingales, and singular integrals
• Note on the class LlogL
• On the Ergodic Theorems
• Unnamed Item

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