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.

引用

页码：71 / 78

页数：8

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