Title
Widths of embeddings in weighted function spaces.
Abstract
We study the asymptotic behaviour of the approximation, Gelfand and Kolmogorov numbers of the compact embeddings of weighted function spaces of Besov and Triebel–Lizorkin type in the case where the weights belong to a large class. We obtain the exact estimates in almost all nonlimiting situations where the quasi-Banach setting is included. At the end we present complete results on related widths for polynomial weights with small perturbations, in particular the sharp estimates in the case α=d(1p2−1p1)>0 therein.
Year
DOI
Venue
2013
10.1016/j.jat.2012.11.011
Journal of Approximation Theory
Keywords
DocType
Volume
Approximation numbers,Gelfand numbers,Kolmogorov numbers,Compact embeddings,Weighted Besov spaces,Smooth weights
Journal
167
Issue
ISSN
Citations 
null
0021-9045
1
PageRank 
References 
Authors
0.41
3
2
Name
Order
Citations
PageRank
Shun Zhang110.41
FANG GENSUN2268.25