Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms
Let \(B\) be the unit ball in \(\mathbb{R}^{n}\). The paper deals with the continuous embeddings of a special weighted Sobolev space of functions defined on \(B\) into the Lebesgue space of complex-valued measurable functions on \(B\). The weights involve log-terms. In the case where the embeddings are compact, some two-sided estimates for the entropy numbers and approximation numbers are proved.
scientific article; zbMATH DE number 5998032
scientific article