Bohr's power series theorem in several variables

被引：179
|
作者：
Boas, HP [1 ]
Khavinson, D [1 ]
机构：
[1] UNIV ARKANSAS,DEPT MATH SCI,FAYETTEVILLE,AR 72701
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 10期
关键词：
D O I：
10.1090/S0002-9939-97-04270-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generalizing a classical one-variable theorem of Bohr, we show that if an n-variable power series has modulus less than 1 in the unit polydisc, then the sum of the moduli of the terms is less than 1 in the polydisc of radius 1/(3 root n).
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页码：2975 / 2979
页数：5
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