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Zeitschrift für Analysis und ihre Anwendungen

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Volume 23, Issue 2, 2004, pp. 221–236
DOI: 10.4171/ZAA/1195

Published online: 2004-06-30

Explicit Upper Bound for Entropy Numbers

Stanislav Hencl[1]

(1) Charles University, Prague, Czech Republic

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

Keywords: Entropy number, embeddings of Sobolev spaces

Hencl Stanislav: Explicit Upper Bound for Entropy Numbers. Z. Anal. Anwend. 23 (2004), 221-236. doi: 10.4171/ZAA/1195