BOHRS POWER-SERIES THEOREM IN SEVERAL VARIABLES

Authors
BOAS HP KHAVINSON D
Citation
Hp. Boas et D. Khavinson, BOHRS POWER-SERIES THEOREM IN SEVERAL VARIABLES, Proceedings of the American Mathematical Society, 125(10), 1997, pp. 2975-2979
Citations number
11
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
10
Year of publication
1997
Pages
2975 - 2979
Database
ISI
SICI code
0002-9939(1997)125:10<2975:BPTISV>2.0.ZU;2-E
Abstract
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 polydi sc, then the sum of the moduli of the terms is less than 1 in the poly disc of radius 1/(3 root n).