THE MEAN-VALUE PROPERTY AND (α, β)-HARMONICITY

被引：1
|
作者：
Li, Dan [1 ]
Liu, Congwen [2 ]
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 91卷 / 02期
基金：
中国国家自然科学基金;
关键词：
(alpha; beta)-harmonic functions; Berezin-type transforms; mean-value property; HARMONIC-FUNCTIONS; INVARIANT; OPERATORS; SPACES;
D O I：
10.1017/S1446788711001431
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we consider whether, for integrable functions on the unit ball of C-n, the mean-value property implies (alpha, beta)-harmonicity. We find that the answer is affirmative when 0 < n + alpha + beta <= rho(0), but is negative when n + alpha + beta > rho(0). Here rho(0) is a constant between 11.025 and 11.069.
引用
收藏
页码：189 / 206
页数：18
相关论文
共 50 条
12345