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arxiv: 1102.0677 · v2 · pith:C4MA274Unew · submitted 2011-02-03 · 🧮 math.FA · cs.NA· math.NA

Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

classification 🧮 math.FA cs.NAmath.NA
keywords embeddingsfunctiongelfandkolmogorovnumberssobolevspacesweighted
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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.

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