Polyharmonic Dirichlet problem on the Heisenberg group

被引：2
|
作者：
Kumar, Ajay [1 ]
Mishra, Mukund Madhav [1 ]
机构：
[1] Univ Delhi, Dept Math, Delhi 110007, India
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2008年 / 53卷 / 12期
关键词：
Heisenberg group; Green's function; Poisson kernel; Dirichlet problem; nilpotent Lie groups;
D O I：
10.1080/17476930802509221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Green's function and the Poisson kernel are known for the sub-Laplacian on the Koranyi ball in the Heisenberg group for circular boundary data. We present a representation formula for higher powers of the sub-Laplacian by defining Green's function and Poisson kernel of higher order for certain H-type groups which include the Heisenberg group.
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页码：1103 / 1110
页数：8
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