On Sobolev and Franke-Jawerth embeddings of smoothness Morrey spaces

DOI10.1007/s13163-013-0143-1zbMath1311.46033OpenAlexW2023388520WikidataQ57339735 ScholiaQ57339735MaRDI QIDQ743629

Leszek Skrzypczak, Haroske, Dorothee D.

Publication date: 25 September 2014

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-013-0143-1

zbMATH Keywords

Sobolev embeddingscompact embeddingscontinuous embeddingBesov-Morrey spacesTriebel-Lizorkin-Morrey spacesFranke-Jawerth embeddings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (24)

Smoothness Morrey spaces of regular distributions, and some unboundedness property ⋮ Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains ⋮ Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator ⋮ Triebel–Lizorkin–Morrey spaces and differences ⋮ Complex interpolation of smoothness Morrey subspaces ⋮ Morrey smoothness spaces: a new approach ⋮ Franke–Jawerth embeddings for Besov and Triebel–Lizorkin spaces with variable exponents ⋮ Unnamed Item ⋮ Optimizers of the Sobolev and Gagliardo-Nirenberg inequalities in \(\dot{W}^{s,p} \) ⋮ Compact embeddings of weighted smoothness spaces of Morrey type: An example ⋮ Compact embeddings in Besov-type and Triebel-Lizorkin-type spaces on bounded domains ⋮ Generalized Morrey spaces -- revisited ⋮ A criterion for embedding of anisotropic Sobolev-Morrey spaces into the space of uniformly continuous functions ⋮ Unboundedness properties of smoothness Morrey spaces of regular distributions on domains ⋮ Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications ⋮ Embedding properties of Besov-type spaces ⋮ Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains ⋮ Some quantitative result on compact embeddings in smoothness Morrey spaces on bounded domains; an approach via interpolation ⋮ Non-smooth decomposition of homogeneous Triebel−Lizorkin−Morrey spaces ⋮ Embedding properties of weighted Besov-type spaces ⋮ Some embeddings of Morrey spaces with critical smoothness ⋮ On the equivalence of the \(K\)-functional and the modulus of continuity on the Morrey spaces ⋮ Some specific unboundedness property in smoothness Morrey spaces. The non-existence of growth envelopes in the subcritical case ⋮ Embeddings of weighted Morrey spaces

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