Acta mathematica scientia, Series B >
ON THE VALIRON’S THEOREM IN THE POLYDISK
Received date: 2014-03-18
Revised date: 2014-07-01
Online published: 2015-01-20
Supported by
Supported by the National Natural Science Foundation of China (11271359).
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
WANG Gang,DENG FangWen . ON THE VALIRON’S THEOREM IN THE POLYDISK[J]. Acta mathematica scientia, Series B, 2015 , 35(1) : 71 -78 . DOI: 10.1016/S0252-9602(14)60139-9
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