On delta m-subharmonic functions

被引：13

作者：

Van Thien Nguyen ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

Annales Polonici Mathematici | 2016年 / 118卷 / 01期

关键词：

cone; delta m-subharmonic function; ordered vector space; quasi-Banach space; topological dual; MONGE-AMPERE OPERATOR; PLURISUBHARMONIC-FUNCTIONS; EQUATION; ENERGY;

D O I：

10.4064/ap3959-9-2916

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p > 0, and let epsilon(p,m) be the cone of negative m-subharmonic functions with finite m-pluricomplex p-energy. We will define a quasi-norm on the vector space delta epsilon(p,m) = epsilon(p,m) - epsilon(p,m) and prove that this vector space with this quasi-norm is a quasi-Banach space. Furthermore, we characterize its topological dual.

引用

页码：25 / 49

页数：25

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