Acta mathematica scientia,Series A

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A Necessary and Sufficient Condition for Quasiconformal Mappings

Chu Yuming;Huang Manzi   

  1. Department of Mathematics, Hunan City University, Yiyang 413000
  • Received:2005-05-10 Revised:2006-09-08 Online:2007-10-25 Published:2007-10-25
  • Contact: Chu Yuming

Abstract: Let f : Rn Rn be a homeomorphism. In this paper, the authors prove that f is a quasiconformal mapping if and only if f(D) is a John domain for any John domain D in Rn.

Key words: Quasiconformal mapping, Homeomorphism, John domain

CLC Number: 

  • 30C65
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