Estimates of the Green's Function and its Regular Part on Heisenberg Group Domains

被引：0
|
作者：
Gamara, Najoua [1 ]
Guemri, Habiba [1 ]
机构：
[1] Fac Sci, Inst Informat Medenine, Dept Math, Tunis, Tunisia
来源：
ADVANCED NONLINEAR STUDIES | 2011年 / 11卷 / 03期
关键词：
Green's function; characteristic point; exterior ball property; harmonic function and maximum principle; DIRICHLET PROBLEM; KOHN-LAPLACIAN; OPERATORS; INFINITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is a preliminary work on Heisenberg group domains, devoted to the study of the Green's function for the Kohn Laplacian on domains far away from the set of characteristic points. We give some estimates of the Green's function, its regular part and their derivatives analogous to those proved by A. Bahri, Y.Y. Li, O. Rey in [1], and O. Rey in [16] for Euclidean domains. While the study of such functions on the set of characteristic points of the given domain will be discussed in a forthcoming paper.
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页码：593 / 612
页数：20
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