Weighted Lorentz Norm Inequalities for the One-Sided Hardy-Littlewood Maximal Functions and for the Maximal Ergodic Operator

DOI10.4153/CJM-1994-060-9zbMath0809.42010MaRDI QIDQ4313915

Pedro Ortega Salvador

Publication date: 26 March 1995

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hardy-Littlewood maximal operatortwo-weight inequalitiesergodic maximal operatorweighted Lorentz norm inequalities

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)

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Weighted inequalities for higher dimensional one-sided Hardy-Littlewood maximal function in Orlicz spaces ⋮ Weighted Lorentz norm inequalities for general maximal operators associated with certain families of Borel measures ⋮ A counting problem in ergodic theory and extrapolation for one-sided weights