Optimal embeddings and compact embeddings of Bessel-potential-type spaces

DOI10.1007/s00209-008-0395-5zbMath1179.46029OpenAlexW2079392085MaRDI QIDQ1022333

Júlio S. Neves, Bohumír Opic, Amiran Gogatishvili

Publication date: 22 June 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/7768

zbMATH Keywords

Lorentz-Zygmund spacesBessel-potential spacesLorentz-Karamata spaceslimiting embeddings

Mathematics Subject Classification ID

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

Related Items

On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions, 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, Continuity envelopes of spaces of generalized smoothness in the critical case, Estimates for continuity envelopes and approximation numbers of Bessel potentials, Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness, Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions, Embeddings of Sobolev-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness

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