An improvement of dimension-free Sobolev imbeddings in r.i. spaces

DOI10.1016/J.JFA.2014.04.011zbMath1312.46043OpenAlexW2012145860MaRDI QIDQ2253302

Alberto Fiorenza, Hans-Juergen Schmeisser, Miroslav Krbec

Publication date: 25 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.04.011

zbMATH Keywords

fundamental functionimbedding theoremrearrangement-invariant Banach function spacesmall Lebesgue space

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 (10)

Fully measurable small Lebesgue spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Real interpolation of small Lebesgue spaces in a critical case ⋮ Some interpolation formulae for grand and small Lorentz spaces ⋮ Fully measurable grand Lebesgue spaces ⋮ Iterated grand and small Lebesgue spaces ⋮ A local estimate for the maximal function in Lebesgue spaces with EXP-type exponents ⋮ Tractable embeddings of Besov spaces into small Lebesgue spaces ⋮ Modulars from Nakano onwards ⋮ Integral isoperimetric transference and dimensionless Sobolev inequalities

Cites Work

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• Decreasing rearrangements and $L^{p,q}$ of the Bohr group
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