Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups

DOI10.1016/j.jfa.2016.03.007zbMath1356.46026OpenAlexW2311889290MaRDI QIDQ279775

Oscar Dominguez, Hans Triebel, Fernando Cobos

Publication date: 29 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.03.007

zbMATH Keywords

waveletsFourier-analytical decompositionslimiting interpolation spaceslogarithmic Besov spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract interpolation of topological vector spaces (46M35)

Related Items (18)

Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces with generalized smoothness and their applications ⋮ Duality for logarithmic interpolation spaces when \(0<q < 1\) and applications ⋮ Approximation and entropy numbers of embeddings between approximation spaces ⋮ On the regularity of characteristic functions ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Extension of Q‐type spaces related with weight functions via convolution operators on Heisenberg groups ⋮ Pointwise multipliers for Besov spaces \(B^{0,b}_{p,\infty}({\mathbb{R}}^n)\) with only logarithmic smoothness ⋮ Restricting Riesz-logarithmic-Besov potentials ⋮ Embeddings and characterizations of Lipschitz spaces ⋮ The logarithmic Sobolev capacity ⋮ Optimal local embeddings of Besov spaces involving only slowly varying smoothness ⋮ On the structure of a limit class of logarithmic interpolation spaces ⋮ The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case ⋮ Duality for logarithmic interpolation spaces and applications to Besov spaces ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series ⋮ Differentiability of logarithmic Besov functions in terms of capacities ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

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