Weak convergence of currents

被引：0
|
作者：
Yang Xing
机构：
[1] University of Umeå,Department of Mathematics
来源：
Mathematische Zeitschrift | 2008年 / 260卷
关键词：
Weak Convergence; Approximation Theorem; Plurisubharmonic Function; Positive Current; Lelong Number;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give certain conditions to guarantee weak convergence ukTk → uT, where uk, u are plurisubharmonic functions and Tk, T are positive closed currents. As applications we obtain that convergence in capacity of plurisubharmonic functions uk implies weak convergence of the complex Monge-Ampère measures (ddcuk)n if all of the plurisubharmonic functions uk are bounded below by one of some sorts of plurisubharmonic functions.
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页码：253 / 264
页数：11
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