ON THE VALIRON'S THEOREM IN THE POLYDISK

被引：0
|
作者：
王刚 [1 ,2 ]
邓方文 [1 ]
机构：
[1] Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences
[2] University of Chinese Academy of Sciences
来源：
Acta Mathematica Scientia | 2015年 / 01期
基金：
中国国家自然科学基金;
关键词：
Valiron’s theorem; Julia-Wolff-Carath′eodory; polydisk;
D O I：
暂无
中图分类号：
O174 [函数论];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the Valiron’s theorem in the unit polydisk DN. We prove that for a holomorphic map φ : DN→ DNsatisfying some regular conditions, there exists a holomorphic map θ : DN→ H and a constant α > 0 such that θoφ =1/aθ.It is based on the extension of Julia-Wolff-Carath′eodory(JWC) theorem of D in the polydisk.
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页码：71 / 78
页数：8
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