Bessel potentials with logarithmic components and Sobolev-type embeddings

DOI10.1023/A:1005691512014zbMath0973.46021MaRDI QIDQ5933686

Bohumír Opic, Walter Trebels

Publication date: 13 June 2001

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

zbMATH Keywords

Sobolev spacesOrlicz spacesLipschitz continuity(quasi) normed spacescontinuous embedding

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) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (10)

A supercritical estimate for Bessel potentials on Lorentz spaces ⋮ Generalized fractional maximal functions in Lorentz spaces Λ ⋮ Notes on the paper entitled `Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces' ⋮ On generalized Besov and Triebel-Lizorkin spaces of regular distributions ⋮ Generalized Sν$S^\nu$ spaces ⋮ Unnamed Item ⋮ Ulyanov-type inequalities between Lorentz-Zygmund spaces ⋮ Characterisations of function spaces of generalised smoothness ⋮ Generalized $T^p_u$ spaces: On the trail of Calderón and Zygmund ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

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