Determination of the pluripolar hull of graphs of certain holomorphic functions

被引：11

作者：

Edigarian, A

Wiegerinck, J

机构：

[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

[2] Univ Amsterdam, Fac Math, NL-1018 TV Amsterdam, Netherlands

来源：

ANNALES DE L INSTITUT FOURIER | 2004年 / 54卷 / 06期

关键词：

plurisubharmonic function; pluripolar hull; complete pluripolar set; pluriharmonic measure; graph of holamorphic function;

D O I：

10.5802/aif.2075

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a closed polar subset of a domain D in C. We give a complete description of the pluripolar hull Gamma*(DxC) of the graph Gamma of a holomorpbic function defined on D \ A. To achieve this, we prove for pluriharmonic measure certain semi-continuity properties and a localization principle.

引用

页码：2085 / +

页数：21

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