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

##### Authors
Shvartsman, Pavel
##### Description
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 $p>2$.
Comment: 37 pages
##### Keywords
Mathematics - Functional Analysis, 46E35