Acta mathematica scientia,Series A

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The Holder Continuity of Quasiconformal Mappings in Bounded Convex Domains

Zheng Ningguo; Chu Yuming   

  1. Department of Mathematics, Huzhou Teachers College, Huzhou 313000
  • Received:2006-08-20 Revised:2008-03-07 Online:2008-06-25 Published:2008-06-25
  • Contact: Zheng Ningguo

Abstract: By using the modulus of family of curves, the global Holder continuity of the K-quasiconformal mapping f which maps bounded convex domain D onto Bn is obtained, and the Holder exponent α=K1/(1-n) is optimal.

Key words: Modulus, Quasiconformal mapping, Holder continuity

CLC Number: 

  • 30C65
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