Entropy and approximation numbers of weighted Sobolev spaces via bracketing

DOI10.1016/J.JFA.2015.12.014zbMath1358.46031OpenAlexW2964341635MaRDI QIDQ289600

Therese Mieth

Publication date: 30 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2015.12.014

zbMATH Keywords

weighted Sobolev spacesapproximation numbersentropy 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)

Cites Work

• Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms
• Fractals, trees and the Neumann Laplacian
• Relations between approximation numbers and entropy numbers
• Entropy and approximation numbers of embeddings of weighted Sobolev spaces
• Distributions, Sobolev spaces, elliptic equations
• Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I
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Related Items (9)

Linear widths of weighted Sobolev classes with conditions on the highest order and zero derivatives ⋮ Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Bracketing metric entropy rates and empirical central limit theorems for function classes of Besov- and Sobolev-type ⋮ KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH “SMALL” SINGULARITY SETS ⋮ Entropy numbers of embeddings of function spaces on sets with tree-like structure: some generalized limiting cases ⋮ ORDER ESTIMATES FOR THE KOLMOGOROV WIDTHS OF WEIGHTED SOBOLEV CLASSES WITH RESTRICTIONS ON DERIVATIVES ⋮ Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order \(r\) and zero ⋮ Unnamed Item ⋮ Diameters of Sobolev weight classes with a ``small set of singularities for weights

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