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arXiv · 1105.5499

Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces II

Shun Zhang·Gensun Fang·Fanglun Huang
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Abstract

We consider the Gelfand and Kolmogorov numbers of compact embeddings between weighted function spaces of Besov and Triebel-Lizorkin type with polynomial weights in the non-limiting case. Our main purpose here is to complement our previous results in \cite{ZF10} in the context of the quasi-Banach setting, $0 < p, q \le \infty$. In addition, sharp estimates for their approximation numbers in several cases left open in Skrzypczak (JAT, 2005) are provided.

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Shun Zhang, Gensun Fang, Fanglun Huang. 2011-05-27. Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces II. https://doi.org/10.1016/j.jco.2013.10.008

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