RIESZ-TYPE REPRESENTATION FORMULAS FOR SUBHARMONIC FUNCTIONS IN SUB-RIEMANNIAN SETTINGS

被引：0
|
作者：
Abbondanza, Beatrice [1 ]
Biagi, Stefano [1 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 09期
关键词：
Representation theorems for subharmonic functions; Poisson-Jensen-type formulas; bounded-above subharmomnic functions; Green functions and potentials; MAXIMUM PRINCIPLE; ELLIPTIC INEQUALITIES; HARNACK INEQUALITY; INFINITY;
D O I：
10.3934/cpaa.2021101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we use a potential-theoretic approach to establish various representation theorems and Poisson-Jensen-type formulas for subharmonic functions in sub-Riemannian settings. We also characterize the Radon measures in R-N which are the Riesz-measures of bounded-above subharmonic functions in the whole space R-N.
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页码：3143 / 3174
页数：32
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