On the space of delta m-subharmonic functions

被引：0
|
作者：
H. Hawari
M. Zaway
机构：
[1] University of Gabès,Department of Mathematics, Faculty of Sciences
来源：
Analysis Mathematica | 2016年 / 42卷
关键词：
plurisubharmonic function; capacity; Hessian operator; 32U05; 32U20; 32U40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to introduce the vector space δFm(Ω). Equipping this space by a norm defined using the Hessian measure, we prove that it is a Banach space and that the class Fm(Ω) is closed in it. Moreover we show that the topology defined by this norm is stronger than the convergence in Capm-capacity. At the end of this paper we prove a relationship between weak convergence and the convergence in capacity Capm,T in the class δSHmloc (Ω).
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页码：353 / 369
页数：16
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