Entropy and approximation numbers of embeddings of function spaces with muckenhoupt weights, II. general weights

Abstract

We study compact embeddings for weighted spaces of Besov and Triebel-Lizorkin type where the weights belong to Muckenhoupt Ap classes. We focus our attention on the influence of singular points of the weights on the compactness of the embeddings as well as on the asymptotic behaviour of their entropy and approximation numbers.