Asymptotic mean value formula for sub-p-harmonic functions on the Heisenberg group

被引：5
|
作者：
Liu, Hairong [1 ,2 ]
Yang, Xiaoping [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China
[2] Nanjing Forestry Univ, Sch Sci, Nanjing 210037, Jiangsu, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2013年 / 264卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Heisenberg group; Mean value formula; Sub-p-harmonic; Viscosity solution; Taylor expansion; VECTOR-FIELDS; INEQUALITY;
D O I：
10.1016/j.jfa.2013.02.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove an asymptotic mean value formula of sub-p-harmonic functions in the viscosity sense on the Heisenberg group. As an application, we give a new proof of the Harnack inequality for sub-p-harmonic functions on the Heisenberg group. (c) 2013 Elsevier Inc. All rights reserved.
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页码：2177 / 2196
页数：20
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