The existence of universal inner functions on the unit ball of Cn

被引：8

作者：

Gauthier, PM ^{[1
]}

Xiao, J

机构：

[1] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2005年 / 48卷 / 03期

关键词：

universal inner functions;

D O I：

10.4153/CMB-2005-038-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that there exists an inner function I defined on the unit ball B-n of C-n such that each function holomorphic on B-n and bounded by 1 can be approximated by "non-Euclidean translates" of I.

引用

页码：409 / 413

页数：5