On the boundary behavior of weak (p,q)-quasiconformal mappings

Abstract

Let $\Omega$ and $\widetilde{\Omega}$ be domains in the Euclidean space $\mathbb{R}^n$. We study the boundary behavior of weak $(p,q)$-quasiconformal mappings $\varphi:\Omega\to \widetilde{\Omega}$, $n-1<q\leqslant p<n$. The suggested method is based on the capacitary distortion properties of the weak $(p,q)$-quasiconformal mappings.