Explicit Upper Bound for Entropy Numbers

  • Stanislav Hencl

    Charles University, Prague, Czech Republic


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.

Cite this article

Stanislav Hencl, Explicit Upper Bound for Entropy Numbers. Z. Anal. Anwend. 23 (2004), no. 2, pp. 221–236

DOI 10.4171/ZAA/1195