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arxiv: 1003.1697 · v1 · submitted 2010-03-08 · 🧮 math.FA

On the boundary values of Sobolev W¹_p-functions

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keywords boundaryomegasobolevarbitrarycharacterizationsdomainfunctionsgive
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For each $p>n$ we use local oscillations to give intrinsic characterizations of the trace of the Sobolev space $W^1_p(\Omega)$ to the boundary of an arbitrary domain $\Omega\subset R^n$.

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