Coincidence and calculation of some strict \(s\)-numbers

DOI10.4171/ZAA/1453zbMath1257.47021OpenAlexW2335201595MaRDI QIDQ415183

Jan Lang, David E. Edmunds

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.4171/zaa/1453

zbMATH Keywords

widthsHardy operatorasymptotic estimatesSobolev embedding\(s\)-numbersgeneralized trigonometric functionscompact maps

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Eigenvalues, singular values, and eigenvectors (15A18) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Compactness in Banach (or normed) spaces (46B50)

Related Items

The eigenvalues and eigenfunctions of the non-linear equation associated to second order Sobolev embeddings

Cites Work

• Some remarkable sine and cosine functions
• Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case.
• On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
• Über die Ungleichung, welche die Integrale über eine Potenz einer Funktion und über eine andere Potenz ihrer Ableitung verbindet
• s-Numbers of operators in Banach spaces
• History of Banach Spaces and Linear Operators
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