Inequalities for the Ergodic Maximal Function and Convergence of the Averages in Weighted L p -Spaces

DOI10.2307/2000560zbMath0612.28014OpenAlexW4241456717MaRDI QIDQ3752613

Francisco Javier Martín-Reyes

Publication date: 1986

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000560

zbMATH Keywords

weighted inequalitiesnorm convergenceinvertible measure-preserving transformationHopf's averagesweighted ergodic maximal operator

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25) Ergodic theory of linear operators (47A35)

Related Items (4)

On the almost everywhere convergence of the ergodic averages ⋮ On the Weighted Integrability of Maximal Ergodic Ratios ⋮ Weights for the ergodic maximal operator and a.e. convergence of the ergodic averages for functions in Lorentz spaces ⋮ On the Almost Everywhere Existence of the Ergodic Hilbert Transform

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