Explicit Upper Bound for Entropy Numbers

Abstract

We give an explicit upper bound for the entropy numbers of the embedding $I:W^{r,p}(Q^l)\to C(\overline{Q^l})$ where $Q^l=(-l,l{)}^m\subset {\mathbb{R}}^n$, $r\in \mathbb{N}$, $p\in (1,\infty )$ and $rp>m$.