Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

DOI10.1016/j.jco.2011.10.008zbMath1258.47033arXiv1102.0677OpenAlexW2060046829MaRDI QIDQ413472

Shun Zhang, Gen Sun Fang

Publication date: 7 May 2012

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0677

zbMATH Keywords

Besov spaceweightSobolev embeddingTriebel-Lizorkin spaceGelfand numberKolmogorov number

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)

Related Items (3)

Gelfand numbers of embeddings of mixed Besov spaces ⋮ Widths of embeddings of 2-microlocal Besov spaces ⋮ Some \(s\)-numbers of embeddings in function spaces with polynomial weights

Cites Work

• The Gelfand widths of \(\ell_p\)-balls for \(0 < p \leq 1\)
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• Entropy numbers, s-numbers, and eigenvalue problems
• About approximation numbers in function spaces
• On principles for the selection of shape functions for the generalized finite element method
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• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
• Estimates for the widths of weighted Sobolev classes
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Wavelet bases and entropy numbers in weighted function spaces
• Entropy Numbers in Weighted Function Spaces and Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators I
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• Compressed sensing
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