Approximation and entropy numbers of compact Sobolev embeddings
Volume 72 / 2006
Banach Center Publications 72 (2006), 309-326
MSC: 46E35, 41A46.
DOI: 10.4064/bc72-0-20
Abstract
The aim of the paper is twofold. First we give a survey of some recent results concerning the asymptotic behavior of the entropy and approximation numbers of compact Sobolev embeddings. Second we prove new estimates of approximation numbers of embeddings of weighted Besov spaces in the so called limiting case.