Exact bounds for the minimum norm of extension operators for Sobolev spaces

V. I. Burenkov ; A. L. Gorbunov

Izvestiya. Mathematics , Tome 61 (1997) no. 1, pp. 1-43.

Résumé

This article is concerned with extension operators for the Sobolev spaces $W_p^l(\Omega)$, where $\Omega$ is a domain in $\mathbb R^n$ with boundary in a Lipschitz class. Two-sided bounds are obtained for the minimum norm of an extension operator that are exact with respect to the smoothness parameter $l$.

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