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.

引用

页码：1103 / 1110

页数：8