Cn上φ-闭正流的Lelong数
The Lelong Number of a φ-Positive Closed Current on Cn
DOI: 10.12677/PM.2016.62015, PDF, HTML, XML, 下载: 2,077  浏览: 3,007  科研立项经费支持
作者: 王 芳：浙江外国语学院科学技术学院，浙江 杭州
关键词: Lelong数；特殊Lagrangian calibration；φ-多次下调和函数；φ-闭正流；Lelong Number； Special Lagrangian Calibration； φ-Plurisubharmonic Function； φ-Positive Closed Current
摘要: 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。
Abstract: 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.
文章引用：王芳, 康倩倩. Cn上φ-闭正流的Lelong数[J]. 理论数学, 2016, 6(2): 103-110. http://dx.doi.org/10.12677/PM.2016.62015

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