Gelfand and Kolmogorov numbers of Sobolev embeddings of weighted function spaces

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.

► Gelfand and Kolmogorov numbers in function spaces with polynomial weights. ► Sharp asymptotic estimates in the so-called non-limiting case. ► Two function spaces in the embedding may be of different types. ► Operator ideals and the reduction to embeddings of suitable sequence spaces. ► We compare approximation, Gelfand and Kolmogorov numbers of Sobolev embeddings.