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

Abstract

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

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