JournalszaaVol. 23 , No. 2DOI 10.4171/zaa/1195

Explicit Upper Bound for Entropy Numbers

  • Stanislav Hencl

    Charles University, Prague, Czech Republic
Explicit Upper Bound for Entropy Numbers cover

Abstract

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