Entropy numbers of limiting embeddings of logarithmic Sobolev spaces into exponential spaces

DOI10.4171/ZAA/1407zbMath1195.46031MaRDI QIDQ961992

David E. Edmunds, Petr Gurka

Publication date: 1 April 2010

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

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=29&iss=2&rank=6

zbMATH Keywords

Sobolev spaceentropy numbersLorentz-Zygmund spacelimiting embeddings

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

Extrapolation estimates for entropy numbers ⋮ Embeddings, Hardy operators and nonlinear problems

Cites Work

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• Norms of embeddings of logarithmic Bessel potential spaces
• COMPACT EMBEDDINGS OF BESOV SPACES IN EXPONENTIAL ORLICZ SPACES
• Compact and continuous embeddings of logarithmic Bessel potential spaces
• Sharpness of embeddings in logarithmic Bessel-potential spaces
• Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces

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