Optimal Orlicz domains in Sobolev embeddings into Marcinkiewicz spaces

DOI10.1016/j.jfa.2016.01.019zbMath1348.46040arXiv1912.03757OpenAlexW2283206050MaRDI QIDQ5965167

Vít Musil

Publication date: 2 March 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03757

zbMATH Keywords

Orlicz-Sobolev spaceOrlicz spaceMarcinkiewicz spaceHardy-type operatoroptimal domain spaceSobolev embedding

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (47G10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Quasilinear elliptic equations on noncompact Riemannian manifolds, Fractional maximal operator in Orlicz spaces, Optimality problems in Orlicz spaces, Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator, Weighted inequalities for discrete iterated Hardy operators, Optimal domain spaces in Orlicz-Sobolev embeddings

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