Non-compact and sharp embeddings of logarithmic Bessel potential spaces into Hölder-type spaces

DOI10.4171/ZAA/1278zbMath1104.46017MaRDI QIDQ2492115

David E. Edmunds, Bohumír Opic, Petr Gurka

Publication date: 6 June 2006

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

embeddinggeneralized Lorentz-Zygmund spaceHölder-continuous functionlogarithmic Bessel potential space

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) Inequalities for sums, series and integrals (26D15)

Related Items (4)

Continuous and Compact Embeddings of Bessel-Potential-Type Spaces ⋮ Optimal embeddings and compact embeddings of Bessel-potential-type spaces ⋮ A LIMITING CASE OF ULTRASYMMETRIC SPACES ⋮ Reduction theorems for Sobolev embeddings into the spaces of Hölder, Morrey and Campanato type

Cites Work

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• On embeddings of logarithmic Bessel potential spaces
• On generalized Lorentz-Zygmund spaces
• Norms of embeddings of logarithmic Bessel potential spaces
• Optimality of embeddings of logarithmic Bessel potential spaces
• Compact and continuous embeddings of logarithmic Bessel potential spaces
• Sharpness of embeddings in logarithmic Bessel-potential spaces
• Interpolation of Operators on Scales of Generalized Lorentz-Zygmund Spaces
• Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces

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