Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case.

DOI10.1016/S0022-1236(03)00109-5zbMath1058.47016OpenAlexW2039621717MaRDI QIDQ1425154

David E. Edmunds, Jan Lang

Publication date: 15 March 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(03)00109-5

zbMATH Keywords

Sobolev spacesintegral operatorsapproximation numbersSobolev embeddingHardy-type operators

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items

Operators of Hardy type ⋮ Bernstein widths of Hardy-type operators in a non-homogeneous case ⋮ Coincidence and calculation of some strict \(s\)-numbers ⋮ Estimates of approximation numbers and applications ⋮ Embeddings, Hardy operators and nonlinear problems ⋮ The 𝔧‐eigenfunctions and s ‐numbers ⋮ On the approximation numbers and spectral eigenvalues ⋮ Coincidence of strict \(s\)-numbers of weighted Hardy operators ⋮ Some \(s\)-numbers of an integral operator of Hardy type on \(L^{p(\cdot)}\) spaces ⋮ Estimates of \(s\)-numbers of a Sobolev embedding involving spaces of variable exponent ⋮ Asymptotic formulae for \(s\)-numbers of a Sobolev embedding and a Volterra type operator

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