Acta mathematica scientia,Series A

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Quasiconformal Mappings and Hausdorff Dimension

Liao Maoxin; Chu Yuming
  

  1. Department of Mathematics, Central South University, Changsha 410083;

    School of Mathematics and Physics, University of South China, Hengyang 421001


  • Received:2006-03-28 Revised:2007-08-18 Online:2008-02-25 Published:2008-02-25
  • Contact: Liao Maoxin

Abstract: The authors discuss change of Hausdorff dimensiondimH(F) for standard Cantor set F under quasiconformal mapping f ,and obtain sharp superior and inferior bounds of dimH(f(F)).

Key words: Quasiconformal mapping, Hausdorff dimension, Standard Cantor set

CLC Number: 

  • 30C62
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