The Hardy-Littlewood Maximal Function and Weighted Lorentz Spaces

DOI10.1112/S0024610796004462zbMath0865.42018OpenAlexW1989316925MaRDI QIDQ4716658

Javier Soria, María Jesús Carro

Publication date: 11 June 1997

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

Full work available at URL: https://doi.org/10.1112/s0024610796004462

zbMATH Keywords

weighted inequalitiesweighted Lorentz spacesHardy-Littlewood maximal function

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) Maximal functions, Littlewood-Paley theory (42B25)

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Some remarks on Wente's inequality and the Lorentz-Sobolev space ⋮ Unnamed Item ⋮ EMBEDDING THEOREM OF THE WEIGHTED SOBOLEV–LORENTZ SPACES ⋮ Weighted inequalities for the fractional maximal operator in Lorentz spaces via atomic decomposition of tent spaces ⋮ Generalized fractional maximal functions in Lorentz spaces Λ ⋮ Embeddings of Lorentz-type spaces involving weighted integral means ⋮ Functional inequalities in stratified Lie groups with Sobolev, Besov, Lorentz and Morrey spaces ⋮ Weighted Hardy-type operators on nonincreasing cones ⋮ Weak-type weights and normable Lorentz spaces ⋮ Boundedness and compactness of Hardy operators on Lorentz-type spaces ⋮ Hardy-type operators in Lorentz-type spaces defined on measure spaces ⋮ Weighted inequalities for iterated Copson integral operators ⋮ Boundedness of quasilinear integral operators on the cone of monotone functions ⋮ Rearrangement transformations on general measure spaces ⋮ Weighted Inequalities for Integral and Supremum Operators ⋮ Boundedness of classical operators on rearrangement-invariant spaces ⋮ Modular inequalities for the Calderón operator. ⋮ New extrapolation estimates ⋮ Hausdorff operators on weighted Lorentz spaces ⋮ Regularity estimates for stationary Stokes problem in some generalized function spaces ⋮ Reduction theorems for weighted integral inequalities on the cone of monotone functions

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