Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

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.

18 pages, 4 sections, published

References in corpus (1)

• The Gelfand widths of ${\ell }_p$-balls for $0<p\le 1$

Cited by in corpus (3)

• Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces II
• Widths of embeddings in weighted function spaces
• Widths of embeddings of 2-microlocal Besov spaces