Subharmonic functions on Carnot groups

被引：24
|
作者：
Bonfiglioli, A [1 ]
Lanconelli, E [1 ]
机构：
[1] Univ Bologna, Dipartmento Matemat, I-40126 Bologna, Italy
来源：
MATHEMATISCHE ANNALEN | 2003年 / 325卷 / 01期
关键词：
D O I：
10.1007/s00208-002-0371-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Many results of classical Potential Theory are extended to sub-Laplacians Delta(G) on Carnot groups G. Some characterizations Of Delta(G)-subharmonicity, representation formulas of Poisson-Jensen's kind and Nevanlinna-type theorems are proved. We also characterize the Riesz-measure related to bounded-above Delta(G)-subharmonic functions in R-N.
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页码：97 / 122
页数：26
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