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Results tagged with extension
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user 15779
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Ref Request: Extension Operators for Slobodeckii Spaces of Higher Order
I have been looking for (linear) Extension Operators for Slobodeckii spaces $W^{s,p}(\Omega)$ where $s>1$ and $\Omega \subset\mathbb{R}^N$ is a sufficiently smooth domain, where the influence of $\partial … Indeed, by considering $E:W^{s,p}(\Omega)\to W^{s,p}(\mathbb{R}^N)$ such extension, there exists $C=C(N,s,p,\partial \Omega, \Omega)>0$ for which
$$ \|E(u)\|_{W^{s,p}(\mathbb{R}^N)}\leq C \|(u)\|_{W^ …
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