Embeddings of Besov spaces of logarithmic smoothness

DOI10.4064/SM223-3-1zbMath1325.46039OpenAlexW1969477066MaRDI QIDQ2926671

Fernando Cobos, Oscar Dominguez

Publication date: 3 November 2014

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm223-3-1

zbMATH Keywords

logarithmic smoothnessBesov spacesapproximation spacesLorentz-Zygmund spacesNikol'skiĭ inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation between normed linear spaces (46B70)

Related Items (11)

Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness and their applications ⋮ Approximation and entropy numbers of embeddings between approximation spaces ⋮ On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Pointwise multipliers for Besov spaces \(B^{0,b}_{p,\infty}({\mathbb{R}}^n)\) with only logarithmic smoothness ⋮ Approximation spaces, limiting interpolation and Besov spaces ⋮ The logarithmic Sobolev capacity ⋮ Optimal local embeddings of Besov spaces involving only slowly varying smoothness ⋮ Tractable embeddings of Besov spaces into small Lebesgue spaces ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series

Cites Work

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• On a limit class of approximation spaces
• Interpolation with a parameter function.

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