On dimension-free Sobolev imbeddings. I.

DOI10.1016/J.JMAA.2011.08.061zbMath1238.46027OpenAlexW1973886515MaRDI QIDQ645373

Miroslav Krbec, Hans-Juergen Schmeisser

Publication date: 15 November 2011

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.2011.08.061

zbMATH Keywords

Sobolev spacesweighted Sobolev spacesdimension-free imbeddingsGross logarithmic inequalityspecial Orlicz spaces

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 (4)

On dimension-free Sobolev imbeddings. II ⋮ An improvement of dimension-free Sobolev imbeddings in r.i. spaces ⋮ Tractable embeddings of Besov spaces into small Lebesgue spaces ⋮ Integral isoperimetric transference and dimensionless Sobolev inequalities

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