Bohr's power series theorem in several variables

被引：184

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).

引用

页码：2975 / 2979

页数：5

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