On regularization of plurisubharmonic functions on manifolds

被引：110

作者：

Blocki, Zbigniew ^{[1
]}

Kolodziej, Slawomir ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 07期

关键词：

plurisubharmonic functions; Kahler manifolds; Lelong numbers;

D O I：

10.1090/S0002-9939-07-08858-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the question of when gamma-plurisubharmonic function on a complex manifold, where. is a fixed (1,1)-form, can be approximated by a decreasing sequence of smooth gamma-plurisubharmonic functions. We show in particular that it is always possible in the compact Kahler case.

引用

页码：2089 / 2093

页数：5

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