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Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces (1102.0677v2)

Published 3 Feb 2011 in math.FA and math.NA

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.