ON THE VALIRON'S THEOREM IN THE POLYDISK  

作　　者：王刚 邓方文 

机构地区：[1]Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences [2]University of Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2015年第1期71-78,共8页数学物理学报（B辑英文版）

基　　金：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 D^N. We prove that for a holomorphic map φ：D^N→D^N satisfying some regular conditions, there exists a holomorphic map θ：D^N→H and a constant α〉 0 such that θ°φ=1/αθ. It is based on the extension of Julia-Wolff-Caratheodory （JWC） theorem of D in the polydisk.In this paper, we discuss the Valiron＇s theorem in the unit polydisk D^N. We prove that for a holomorphic map φ：D^N→D^N satisfying some regular conditions, there exists a holomorphic map θ：D^N→H and a constant α〉 0 such that θ°φ=1/αθ. It is based on the extension of Julia-Wolff-Caratheodory （JWC） theorem of D in the polydisk.

关 键 词：Valiron＇s theorem Julia-Wolff-Caratheodory POLYDISK 

分 类 号：O174[理学—数学] TS734.9[理学—基础数学]