Acta mathematica scientia,Series A

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The Supremum of Lp -integrability Exponent on

Quasiconformal Mappings

Chu Yuming;Zhang Xiaohui\quad ;Wang Gendi   

  1. Department of Mathematics, Hunan City University, Yiyang 413000
  • Received:2005-10-20 Revised:2006-11-05 Online:2007-12-25 Published:2007-12-25
  • Contact: Chu Yuming

Abstract:
\noindent{\bf Abstract:} Let $f$ be a $K$-quasiconformal mapping in the unit disk $B^2$ of $R^2$.
In this paper, the authors prove
$$\sup_{0for any $ 0

Key words: Quasiconformal mapping, Hardy space, H\"older inequality

CLC Number: 

  • 30C62
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