GLOBAL HOLDER ESTIMATES FOR HYPOELLIPTIC OPERATORS WITH DRIFT ON HOMOGENEOUS GROUPS

被引：9

作者：

Hou, Yuexia ^{[1
]}

Feng, Xiaojing ^{[1
]}

Cui, Xuewei ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Key Lab Space Appl Phys & Chem, Minist Educ, Xian 710129, Shaanxi, Peoples R China

来源：

MISKOLC MATHEMATICAL NOTES | 2012年 / 13卷 / 02期

基金：

中国国家自然科学基金;

关键词：

homogeneous group; singular integral; global Holder estimate; HARNACK INEQUALITY; EQUATIONS; SPACES;

D O I：

10.18514/MMN.2012.458

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X-0, X-1,...,X-q be left invariant real vector fields on the homogeneous group G, satisfying Hormander's condition on R-N. Assume that X-1,...,X-q are homogeneous of degree one and X-0 is homogeneous of degree two. In this paper we consider the following hypoelliptic operator with drift L = Sigma(q)(i,j=1) a(ij)X(i)X(j) + a(0)X(0), where (a(ij)) is a q x q positive constant matrix and a(0) not equal 0, and obtain Global Holder estimates for L on G by establishing several estimates of singular integrals.

引用

页码：337 / 347

页数：11

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