Sharp embeddings of Besov-type spaces

DOI10.1016/j.cam.2006.10.036zbMath1132.46022OpenAlexW2057977880MaRDI QIDQ2381614

Bohumír Opic, Petr Gurka

Publication date: 18 September 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.10.036

zbMATH Keywords

growth envelopessharp embeddingsLorentz-Karamata spacesBesov spaces with varying smoothness

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Compact embeddings of besov spaces involving only slowly varying smoothness, A supercritical estimate for Bessel potentials on Lorentz spaces, Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by \(L^{p}\)-modulus of smoothness, Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness, Interpolation of generalized gamma spaces in a critical case, Some interpolation formulae for grand and small Lorentz spaces, On restrictions of Besov functions, Description of K‐spaces by means of J‐spaces and the reverse problem in the limiting real interpolation, Sharp Hardy inequalities of fractional order involving slowly varying functions, Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces, Sharp embeddings of Besov spaces involving only logarithmic smoothness, Joint weak type interpolation on Lorentz-Karamata spaces, Optimal local embeddings of Besov spaces involving only slowly varying smoothness, Limiting variants of Krasnosel'skiĭ's compact interpolation theorem, Limit cases of reiteration theorems, Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness, Besov spaces with generalized smoothness and summability of multiple Fourier series, Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness

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