Boundary behavior of harmonic functions in metrics of Bergman type on the polydisc

被引：8

作者：

Li, SY ^{[1
]}

Simon, E ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2002年 / 124卷 / 05期

关键词：

D O I：

10.1353/ajm.2002.0028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the following theorem: Any harmonic functions in Bergman type metrics in the polydisc in complex Euclidean space which are continuous up to the boundary must be harmonic in each complex variable.

引用

页码：1045 / 1057

页数：13

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