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

Published 27 May 2011 in math.FA and math.NA | (1105.5499v3)

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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