Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

Authors:
Shun Zhang;Gensun Fang
Affiliations:
School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China and School of Computer Science and Technology, Anhui University, Hefei 230039, Anhui, China;School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China
Venue:
Journal of Complexity
Year:
2012

Citing 7
Cited 3

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Widths of embeddings in function spaces

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Corrigendum: Corrigendum to the paper: "On approximation numbers of Sobolev embeddings of weighted function spaces" [J. Approx. Theory 136 (2005) 91-107]

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On approximation numbers of Sobolev embeddings of weighted function spaces

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Full length article: Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin

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Full length article: Widths of embeddings of 2-microlocal Besov spaces

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Abstract

In this paper we study the Gelfand and Kolmogorov numbers of Sobolev embeddings between weighted function spaces of Besov and Triebel-Lizorkin type with polynomial weights. The sharp asymptotic estimates are determined in the so-called non-limiting case.