Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (4): 1333-1337.doi: 10.1016/S0252-9602(12)60102-7

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ON THE GENERALIZATIONS OF DENJOY-WOLFF THEOREM

 XU Li-Fang,1 YANG Huan-Huan2   

  1. 1.Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China;Graduate School of Chinese Academy of Sciences, Beijing 100039, China 2.Department of Mathematics and Computer Science, Emory University, Atlanta, GA30322, USA
  • Received:2011-04-20 Online:2012-07-20 Published:2012-07-20
  • Supported by:

    Supported in part by the National Natural Science Foundation of China(10901158)

Abstract:

We consider generalizations of Denjoy-Wolff theorem on strongly pseudo-convex domains. Beardon [3] gave a general Denjoy-Wolff theorem in hyperbolic domain in the complex plane. Our main results are generalizations of Beardon's result in a higher dimensional setting.

Key words: holomorphic random iteration, strong pseudo-convex domain, Denjoy-Wolff theorem

CLC Number: 

  • 32A19
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