The Approximation Numbers of Hardy-Type Operators on Trees

DOI10.1112/plms/83.2.390zbMath1027.47041arXivmath/0003215OpenAlexW2069687788MaRDI QIDQ2766422

D. J. Harris, Jan Lang, W. Desmond Evans

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003215

zbMATH Keywords

measure of noncompactnessapproximation numbersHardy-type operators\(L^p\)-class

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (17)

On approximation of functions from Sobolev spaces on metric graphs ⋮ Improved estimates for the approximation numbers of Hardy-type operators. ⋮ Some \(s\)-numbers of an integral operator of Hardy type in Banach function spaces ⋮ Operators of Hardy type ⋮ Bernstein widths of Hardy-type operators in a non-homogeneous case ⋮ Widths of weighted Sobolev classes on a John domain: strong singularity at a point ⋮ Widths of weighted Sobolev classes with constraints \(f(a) = \cdots = f^{(k-1)}(a) = f^{(k)}(b) = \cdots = f^{(r-1)}(b) = 0\) and the spectra of nonlinear differential equations ⋮ Exact solutions for Sturm–Liouville problems on trees via novel substitute systems and the Wittrick–Williams algorithm ⋮ Embeddings, Hardy operators and nonlinear problems ⋮ Widths of weighted Sobolev classes on a John domain ⋮ Estimates for the widths of discrete function classes generated by a two-weight summation operator ⋮ A Borg–Levinson theorem for trees ⋮ Sobolev Embeddings and Hardy Operators ⋮ Estimates for norms of two‐weighted summation operators on a tree under some restrictions on weights ⋮ Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set ⋮ Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\) ⋮ Widths of weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set: some limit cases

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