Widths of embeddings of 2-microlocal Besov spaces

Abstract

We consider the asymptotic behaviour of the approximation, Gelfand and Kolmogorov numbers of compact embeddings between 2-microlocal Besov spaces with weights defined in terms of the distance to a $d$-set $U\subset {\mathbb{R}}^n$. The sharp estimates are shown in most cases, where the quasi-Banach setting is included.

28 pages

References in corpus (4)

• The Gelfand widths of ${\ell }_p$-balls for $0<p\le 1$
• Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces
• Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces II
• Widths of embeddings in weighted function spaces