ZEROS OF BOUNDED HOLOMORPHIC-FUNCTIONS IN STRICTLY PSEUDOCONVEX DOMAINS IN C2

被引：2

作者：

ARLEBRINK, J ^{[1
]}

机构：

[1] GOTHENBURG UNIV,S-41296 GOTHENBURG,SWEDEN

来源：

ANNALES DE L INSTITUT FOURIER | 1993年 / 43卷 / 02期

关键词：

BOUNDED HOLOMORPHIC FUNCTIONS; PARTIAL-DERIVATIVE(PARTIAL-DERIVATIVE)OVER-BAR-EQUATION; ZERO DIVISOR;

D O I：

10.5802/aif.1339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a bounded strictly pseudoconvex domain in C2 and let X be a positive divisor of D with finite area. We prove that there exists a bounded holomorphic function f such that X is the zero set of f. This result has previously been obtained by Berndtsson in the case where D is the unit ball in C2.

引用

页码：437 / 458

页数：22

共 13 条

[1]

ANDERSSON M, 1990, B SCI MATH, V114, P463

[2]

ARLEBRINK J, 1989, ZEROS BOUNDED HOLOMO

[3] HENKIN-RAMIREZ FORMULAS WITH WEIGHT FACTORS [J].