Estimates of \(s\)-numbers of a Sobolev embedding involving spaces of variable exponent

DOI10.1016/j.jmaa.2015.05.043zbMath1338.46045OpenAlexW279050115MaRDI QIDQ2352878

Aleš Nekvinda, Jan Lang, David E. Edmunds

Publication date: 6 July 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.05.043

zbMATH Keywords

approximationcompact embeddingSobolev embeddingvariable exponent spaces\(s\)-numbers

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) Compactness in Banach (or normed) spaces (46B50)

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Eigenvalues, embeddings and generalised trigonometric functions
• Lebesgue and Sobolev spaces with variable exponents
• Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces
• Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case.
• Differential Operators on Spaces of Variable Integrability
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• History of Banach Spaces and Linear Operators
• Bad properties of the Bernstein numbers

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