Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces

DOI10.5565/PUBLMAT_49205_03zbMath1096.46016OpenAlexW4241106612MaRDI QIDQ2574017

Amiran Gogatishvili, Júlio S. Neves, Bohumír Opic

Publication date: 28 November 2005

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41571

zbMATH Keywords

Sobolev embeddingsBessel potential 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)

Related Items (8)

A supercritical estimate for Bessel potentials on Lorentz spaces ⋮ Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness ⋮ Continuous and Compact Embeddings of Bessel-Potential-Type Spaces ⋮ Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness ⋮ Mutual coverings of cones of monotone functions and estimates of their integral majorants ⋮ Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications ⋮ Sharpness and non‐compactness of embeddings of Bessel‐potential‐type spaces ⋮ Optimal embeddings and compact embeddings of Bessel-potential-type spaces

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