On the boundary values of Sobolev $W^1_p$-functions

Details On the boundary values of Sobolev $W^1_p$-functions On the boundary values of Sobolev $W^1_p$-functions

2010-03-08

arxiv.org/abs/1003.1697v1

Mathematics

Functional Analysis

55 pages, 6 figures

Scientific paper

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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