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Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces |
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| Authors: | Shun Zhang Gensun Fang |
| Institution: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;2. School of Computer Science and Technology, Anhui University, Hefei 230039, Anhui, China |
| 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. |
| Keywords: | Gelfand numbers Kolmogorov numbers Sobolev embeddings Weighted function spaces |
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