%0 Journal Article
%T Cn上φ-闭正流的Lelong数
The Lelong Number of a φ-Positive Closed Current on Cn
%A 王芳
%A 康倩倩
%J Pure Mathematics
%P 103-110
%@ 2160-7605
%D 2016
%I Hans Publishing
%R 10.12677/PM.2016.62015
%X
本文给出了Cn上φ-闭正流ddφf的Lelong数,这里φ是特殊Lagrangian calibration,f是Lloc1(Cn)中的φ-多次下调和函数。并且我们应用此Lelong数,将单复变中全纯函数的极小模原理进行了推广,给出了此类φ-多次下调和函数的一个下界估计。
In this paper, we give the Lelong number of a φ-positive closed current ddφf , where φ is the special Lagrangian calibration and f is a φ-plurisubharmonic function in Lloc1(Cn) . Using that Lelong number, we generalize the minimum modulus principle for the holomorphic function of one complex variable, and we get an estimate of the low bound for φ-plurisubharmonic functions.
%K Lelong数,特殊Lagrangian calibration,φ
%K -多次下调和函数,φ
%K -闭正流
Lelong Number
%K Special Lagrangian Calibration
%K φ
%K -Plurisubharmonic Function
%K φ
%K -Positive Closed Current
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=17142