Entropy numbers of finite dimensional mixed-norm balls and function space embeddings with small mixed smoothness

Sebastian Mayer, Tino Ullrich

We study the embedding $\text{id}:{\ell }_p^b({\ell }_q^d)\to {\ell }_r^b({\ell }_u^d)$ and prove matching bounds for the entropy numbers $e_k(\text{id})$ provided that $0<p<r\le \infty$ an…