Fractional maximal operator in Orlicz spaces

DOI10.1016/j.jmaa.2019.01.034zbMath1414.42024arXiv1805.00763OpenAlexW2799192114MaRDI QIDQ2414810

Vít Musil

Publication date: 17 May 2019

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

Full work available at URL: https://arxiv.org/abs/1805.00763

zbMATH Keywords

optimalityOrlicz spacesfractional maximal operatorreduction theorem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items

Fractional operators and their commutators on generalized Orlicz spaces, Optimality problems in Orlicz spaces, Optimality of function spaces for kernel integral operators, On grand Sobolev spaces and pointwise description of Banach function spaces, Weighted inequalities for discrete iterated Hardy operators, Boundedness of classical operators on rearrangement-invariant spaces, Poincaré-Sobolev inequalities with rearrangement-invariant norms on the entire space, Embeddings of homogeneous Sobolev spaces on the entire space, Sharp growth conditions for boundedness of maximal function in generalized Orlicz spaces

Cites Work

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• Optimal Sobolev imbeddings
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• A sharp embedding theorem for Orlicz-Sobolev spaces
• Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces
• Optimal domain spaces in Orlicz-Sobolev embeddings
• Orlicz-Sobolev boundary trace embeddings
• Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces