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arxiv: 1108.5550 · v2 · pith:6AP3R4SMnew · submitted 2011-08-29 · 🧮 math.CV

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

classification 🧮 math.CV
keywords quasiconformalapplicationdomainsjohnmappingssubinvariancecompleteconcerning
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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.

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