Complex Hessian Operator and Generalized Lelong Numbers Associated to a Closed m-Positive Current

被引：0
作者：
Wan, Dongrui [1 ]
机构：
[1] Shenzhen Univ, Coll Math & Stat, Room 415,Sci & Technol Bldg, Shenzhen 518060, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2018年 / 12卷 / 02期
关键词：
Complex Hessian operator; m-subharmonic function; Lelong number; m-positive current; Capacity; MONGE-AMPERE MEASURES; DIRICHLET PROBLEM; EQUATIONS; CAPACITY;
D O I：
10.1007/s11785-017-0711-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce the generalized Lelong number of an m-positive current T with respect to an m-subharmonic weight . We also prove two Demailly's comparison theorems of the generalized Lelong numbers. Then by establishing an estimate for m-capacity , we show a new expression of the generalized Lelong number in terms of the -capacity of the sublevel set of .
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页码：475 / 489
页数：15
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