The G-ellipticity for the sub-Laplacian on two step stratified Lie groups

被引：0

作者：

Jiang, YP ^{[1
]}

机构：

[1] ACAD SINICA,GRAD SCH,DEPT MATH,BEIJING 100039,PEOPLES R CHINA

来源：

MATHEMATISCHE NACHRICHTEN | 1996年 / 181卷

关键词：

stratified Lie group; left invariant; G-elliptic; fundamental solution;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper reveals that the sub-laplacian L(0) on two step stratified Lie groups has a similar behavior like elliptic operators on the Euclidean space, that is, the sub-Laplacian satisfies a group-elliptic estimate, called the G-elliptic estimate (or the L(p)-regularity), and the general left invariant operator L(lambda) has such a behavior if and only if lambda is admissible.

引用

页码：231 / 244

页数：14