数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (1): 71-78.doi: 10.1016/S0252-9602(14)60139-9

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ON THE VALIRON’S THEOREM IN THE POLYDISK

王刚|邓方文   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, ChinaUniversity of Chinese Academy of Sciences, Beijing 10039, China Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • 收稿日期:2014-03-18 修回日期:2014-07-01 出版日期:2015-01-20 发布日期:2015-01-20
  • 基金资助:

    Supported by the National Natural Science Foundation of China (11271359).

ON THE VALIRON’S THEOREM IN THE POLYDISK

WANG Gang,DENG FangWen   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China University of Chinese Academy of Sciences, Beijing 10039, China Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2014-03-18 Revised:2014-07-01 Online:2015-01-20 Published:2015-01-20
  • Supported by:

    Supported by the National Natural Science Foundation of China (11271359).

摘要:

In this paper, we discuss the Valiron’s theorem in the unit polydisk DN. We prove that for a holomorphic map ' : DN → DN satisfying some regular conditions, there exists a holomorphic map  : DN → H and a constant > 0 such that  ? ' = 1  . It is based on the extension of Julia-Wolff-Carath´eodory (JWC) theorem of D in the polydisk

关键词: Valiron’s theorem, Julia-Wolff-Carath´eodory, polydisk

Abstract:

In this paper, we discuss the Valiron’s theorem in the unit polydisk DN. We prove that for a holomorphic map ' : DN → DN satisfying some regular conditions, there exists a holomorphic map  : DN → H and a constant > 0 such that  ? ' = 1  . It is based on the extension of Julia-Wolff-Carath´eodory (JWC) theorem of D in the polydisk

Key words: Valiron’s theorem, Julia-Wolff-Carath´eodory, polydisk

中图分类号: 

  • 32H50