On Sobolev extension domains in $R^n$

Details On Sobolev extension domains in $R^n$ On Sobolev extension domains in $R^n$

2009-04-06

arxiv.org/abs/0904.0909v1

Mathematics

Functional Analysis

37 pages

Scientific paper

We describe a class of Sobolev $W^k_p$-extension domains $\Omega\subset R^n$
determined by a certain inner subhyperbolic metric in $\Omega$. This enables us
to characterize finitely connected Sobolev $W^1_p$-extension domains in $R^2$
for each $p>2$.

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