article

Title: Quasiconformal removability and the quasihyperbolic metric

Authors: Pekka Koskela and Tomi Nieminen

Issue: Volume 54 (2005), Issue 1, 143-152

Abstract:

$We establish an essentially sharp condition sufficient for the $L^n$-integrability of the quasihyperbolic metric in a domain $\Omega\subset\mathbb{R}^n$. As a corollary, we prove a result concerning (quasi)conformal and $W^{1,n}$-removability of the boundary $\partial\Omega$.$