Optimality of embeddings of Bessel-potential-type spaces into Lorentz–Karamata spaces

DOI10.1017/S0308210500003668zbMath1076.46021MaRDI QIDQ4653540

Amiran Gogatishvili, Júlio S. Neves, Bohumír Opic

Publication date: 7 March 2005

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bessel potential spacessharp embeddingsLorentz-Karamata spacesnon-compactness of embeddings

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)

Related Items (12)

On optimal Banach spaces containing a weight cone of monotone or quasiconcave functions ⋮ Optimal Calderón spaces for generalized Bessel potentials ⋮ Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness ⋮ Sharp embeddings of Besov-type spaces ⋮ Continuous and Compact Embeddings of Bessel-Potential-Type Spaces ⋮ Notes on the paper entitled `Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces' ⋮ Estimates for continuity envelopes and approximation numbers of Bessel potentials ⋮ Reduction principle for Gaussian \(K\)-inequality ⋮ Joint weak type interpolation on Lorentz-Karamata spaces ⋮ Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications ⋮ Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions ⋮ Optimal embeddings and compact embeddings of Bessel-potential-type spaces

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