Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (4): 629-632.

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Covering Theorems on Two Classes of Quasi-conformal Mappings 

  


  1. 1. School of Mathematics and Physics,Nanhua University  2. Institute of Mathematics and Computing Science,Changsha University of Science and Technology 
  • Received:2005-05-09 Online:2006-12-30 Published:2023-11-24
  • About author:LIA0 Mao-xin(1969-),male,native of Hengyang,Hunan,a lecturer of Nanhua University, M.S.D.,engages in complex analysis and its application.
  • Supported by:
     Supported by the Scientific Research Fund of Hunan Provincial Education Department(04B056); Supported by the Nanhua University Key Items(06Z02);

Abstract: In this paper we define two classes of quasiconformal mappings,and study their covering properties by methods of module.We obtain some new results.In the meantime,we give new methods to prove Koebe 1/2 covering theorem on convex conformal mappings.

Key words: doubly connected domains, convex quasiconformal mappings, covering theorem 

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