Articles

ON THE GENERALIZATIONS OF DENJOY-WOLFF THEOREM

  • XU Li-Fang ,
  • YANG Huan-Huan
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  • 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 date: 2011-04-20

  Online 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.

Cite this article

XU Li-Fang , YANG Huan-Huan . ON THE GENERALIZATIONS OF DENJOY-WOLFF THEOREM[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1333 -1337 . DOI: 10.1016/S0252-9602(12)60102-7

References

[1] Abate M. Iteration Theory of Holomorphic Maps in Taut Manifolds. Cosenza: Mediter Ranean Press, 1989

[2] Ahlfors L V. Complex Analysis. 3rd ed. McGraw-Hill, 1979

[3] Beardon A F. Semi-groups of analytic maps. Computational Metheods and Function Theory, 2001, 1: 249–258

[4] Beardon A F. Repeated compositions of analytic maps. Computational Metheods and Function Theory, 2001, 1: 235–248

[5] Beardon A F, Carne T K, Minda D, Ng T W. Random iteration of analytic maps. Ergodic Theory and Synamical Systems, 2004, 24: 659–675

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