The quasiconformal subinvariance property of John domains in $\protect \IR^n$ and its application

Abstract

The main aim of this paper is to give a complete solution to one of the open problems, raised by Heinonen from 1989, concerning the subinvariance of John domains under quasiconformal mappings in $\IR^n$. As application, the quasisymmetry of quasiconformal mappings is discussed.

61 pages, under revision for Mathematische. Annalen