Centered sub-Laplacians and densities in Lie groups of polynomial volume growth

被引：8

作者：

Alexopoulos, G ^{[1
]}

机构：

[1] Univ Paris Sud, F-91405 Orsay, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 05期

关键词：

D O I：

10.1016/S0764-4442(98)85003-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Harnack inequality on connected Lie groups of polynomial volume growth. We use this inequality to study the large time behavior of the heat kernels associated to centered sub-laplacians. Thus, we obtain Gaussian estimates and estimates of the type Berry-Esseen. We also obtain similar results of the convolution powers of centered densities. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：539 / 542

页数：4