On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation

DOI10.1007/s00041-015-9454-6zbMath1365.46027OpenAlexW2219845545MaRDI QIDQ334964

Fernando Cobos, Oscar Dominguez

Publication date: 1 November 2016

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-015-9454-6

zbMATH Keywords

logarithmic smoothnessBesov spacesFourier coefficientsLorentz-Zygmund spaceslimiting interpolation spaces

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) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Abstract interpolation of topological vector spaces (46M35)

Related Items (11)

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 ⋮ Description of K‐spaces by means of J‐spaces and the reverse problem in the limiting real interpolation ⋮ Pointwise multipliers for Besov spaces \(B^{0,b}_{p,\infty}({\mathbb{R}}^n)\) with only logarithmic smoothness ⋮ Optimal local embeddings of Besov spaces involving only slowly varying smoothness ⋮ Real interpolation of compact bilinear operators ⋮ Duality for logarithmic interpolation spaces and applications to Besov spaces ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

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