Geodesic
Exact bounds for the minimum norm of extension operators for Sobolev spaces
Izvestiya. Mathematics , Tome 61 (1997) no. 1, pp. 1-43

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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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     author = {V. I. Burenkov and A. L. Gorbunov},
     title = {Exact bounds for the minimum norm of extension operators for {Sobolev} spaces},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1997_61_1_a0/}
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V. I. Burenkov; A. L. Gorbunov. Exact bounds for the minimum norm of extension operators for Sobolev spaces. Izvestiya. Mathematics , Tome 61 (1997) no. 1, pp. 1-43. http://geodesic.mathdoc.fr/item/IM2_1997_61_1_a0/