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

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 ZF10 in the context of the quasi-Banach setting, 0 < p, q ∞. In addition, sharp estimates for their approximation numbers in several cases left open in Skrzypczak (JAT, 2005) are provided.

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