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

Published 29 Aug 2011 in math.CV | (1108.5550v2)

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 $\IRn$. As application, the quasisymmetry of quasiconformal mappings is discussed.

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