A note on the space of delta m-subharmonic functions

被引：1
|
作者：
Van Thien Nguyen [1 ]
Karim, Samsul Ariffin Abdul [2 ,3 ]
Dinh Dat Truong [4 ]
机构：
[1] FPT Univ, Hoa Lac High Tech Pk,Km29 Thang Long Highway, Hanoi, Vietnam
[2] Univ Teknol PETRONAS, Inst Autonomous Syst, Fundamental & Appl Sci Dept, Seri Iskandar 32610, Perak, Malaysia
[3] Univ Teknol PETRONAS, Inst Autonomous Syst, Ctr Smart Grid Energy Res CSMER, Seri Iskandar 32610, Perak, Malaysia
[4] Hanoi Natl Univ Educ, 136 Xuan Thuy St, Hanoi, Vietnam
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 03期
关键词：
m-subharmonic functions; complex Hessian equations; quasi-Banach space; convergence in capacity; ENERGY;
D O I：
10.3934/math.2020156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we present some properties of a certain space of delta m-subharmonic functions. We prove that the convergence in this space implies the convergence in m-capacity.
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页码：2369 / 2375
页数：7
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