Sobolev embeddings in Orlicz and Lorentz spaces with measures

DOI10.1016/j.jmaa.2019.123827zbMath1450.46019OpenAlexW2999646373WikidataQ126402148 ScholiaQ126402148MaRDI QIDQ2304287

Luboš Pick, Andrea Cianchi, Lenka Slavíková

Publication date: 9 March 2020

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123827

zbMATH Keywords

Orlicz-Sobolev spaceshigher-order derivativesLorentz-Sobolev spacesFrostman measuresSobolev trace embeddings

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)

Related Items (8)

Weighted inequalities for a superposition of the copson operator and the Hardy operator ⋮ Compactness of Sobolev-type embeddings with measures ⋮ Compactness of Sobolev embeddings and decay of norms ⋮ Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces ⋮ Optimality problems in Orlicz spaces ⋮ Basic functional properties of certain scale of rearrangement‐invariant spaces ⋮ Sobolev embeddings, rearrangement-invariant spaces and Frostman measures ⋮ Sobolev inequalities for the symmetric gradient in arbitrary domains

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