Sharp embeddings of Besov spaces with logarithmic smoothness

DOI10.5209/rev_REMA.2005.v18.n1.16715zbMath1083.46018OpenAlexW2138151113MaRDI QIDQ558712

Petr Gurka, Bohumír Opic

Publication date: 13 July 2005

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/44545

zbMATH Keywords

generalized Besov spacesgrowth envelopesLorentz--Zygmund spacessharp 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 (10)

Compact embeddings of besov spaces involving only slowly varying smoothness ⋮ A supercritical estimate for Bessel potentials on Lorentz spaces ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness and their applications ⋮ Sharp embeddings of Besov-type spaces ⋮ Sharp embeddings of Besov spaces with logarithmic smoothness in sub-critical cases ⋮ On restrictions of Besov functions ⋮ Description of K‐spaces by means of J‐spaces and the reverse problem in the limiting real interpolation ⋮ Sharp embeddings of Besov spaces involving only logarithmic smoothness ⋮ Optimal local embeddings of Besov spaces involving only slowly varying smoothness ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series

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