s-numbers of compact embeddings of some sequence and function spaces

In this paper we prove asymptotic formulas for the behavior of approximation, Gelfand, Kolmogorov and Weyl numbers of embeddings between some weighted sequence spaces. The formulas are applied to the estimates of asymptotic behavior of these s-numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces defined on quasi-bounded domains.