Weights for the ergodic maximal operator and a.e. convergence of the ergodic averages for functions in Lorentz spaces

DOI10.2748/tmj/1178225894zbMath0802.28011OpenAlexW2064994142MaRDI QIDQ1313231

Pedro Ortega Salvador

Publication date: 18 December 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225894

zbMATH Keywords

weightsLorentz spaceergodic averageergodic maximal operatorinvertible measure preserving transformation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (2)

The return times property for the tail on logarithm-type spaces ⋮ A non-singular dynamical system without maximal ergodic inequality

Cites Work

• Unnamed Item
• Ergodic theorems. With a supplement by Antoine Brunel
• Weighted weak type integral inequalities for the Hardy-Littlewood maximal operator
• On L(p,q) spaces
• Weighted integral inequalities for the ergodic maximal operator and other sublinear operators. Convergence of the averages and the ergodic Hilbert transform
• Inequalities for the Ergodic Maximal Function and Convergence of the Averages in Weighted L p -Spaces

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