Weighted Energy Classes of Plurifinely Plurisubharmonic Functions

被引：0
|
作者：
Le Mau Hai [1 ]
Vu Van Quan [2 ]
机构：
[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam
[2] Hanoi Architectural Univ, Hanoi, Vietnam
来源：
RESULTS IN MATHEMATICS | 2019年 / 74卷 / 04期
关键词：
Weighted energy classes; plurifinely plurisubharmonic functions; bounded F-hyperconvex domain; approximation of plurifinely plurisubharmonic functions; weak solutions of the equation of complex Monge-Ampere type; APPROXIMATION; BOUNDARY; EQUATION;
D O I：
10.1007/s00025-019-1094-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper we introduce weighted energy classes E-X(Omega) of plurifinely plurisubharmonic functions on a bounded F-hyperconvex domain Omega in C-n and prove the existence of weak solutions of the equation of complex Monge-Ampere type in this class.
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页数：13
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