Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663426 | Acta Mathematica Scientia | 2015 | 8 Pages |
Abstract
In this paper, we discuss the Valiron's theorem in the unit polydisk DNDN. We prove that for a holomorphic map ϕ : DNDN → DNDN satisfying some regular conditions, there exists a holomorphic map θ : DNDN → H and a constant α >0 such that θ o ϕ =1αθ.It is based on the extension of Julia-Wolff-Carathéodory (JWC) theorem of DD in the polydisk.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Gang WANG, Fangwen DENG,