On sharp embeddings of Besov and Triebel-Lizorkin spaces in the subcritical case

DOI10.1090/S0002-9939-09-09832-3zbMath1204.46023arXiv0809.0570MaRDI QIDQ3402166

Jan Vybíral

Publication date: 2 February 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0570

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacesrearrangement-invariant spacesLorentz spacesgrowth envelopes

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 (11)

Smoothness Morrey spaces of regular distributions, and some unboundedness property ⋮ Sobolev-Jawerth embedding of Triebel-Lizorkin-Morrey-Lorentz spaces and fractional integral operator on Hardy type spaces ⋮ Sharp embeddings of Besov spaces with logarithmic smoothness in sub-critical cases ⋮ Morrey smoothness spaces: a new approach ⋮ On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces ⋮ Unboundedness properties of smoothness Morrey spaces of regular distributions on domains ⋮ Growth envelopes in Muckenhoupt weighted function spaces: the general case ⋮ Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness ⋮ Besov spaces with positive smoothness on \(\mathbb R^n\), embeddings and growth envelopes ⋮ Some specific unboundedness property in smoothness Morrey spaces. The non-existence of growth envelopes in the subcritical case ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

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• On dilation operators in Besov spaces
• Low regularity classes and entropy numbers
• Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
• Some observations on Besov and Lizorkin-Triebel spaces.

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