TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES

被引：95

作者：

Grigor'yan, Alexander ^{[1
]}

Telcs, Andras ^{[2
]}

机构：

[1] Univ Bielefeld, Dept Math, D-33501 Bielefeld, Germany

[2] Budapest Univ Technol & Econ, Dept Comp Sci & Informat Theory, H-1117 Budapest, Hungary

来源：

ANNALS OF PROBABILITY | 2012年 / 40卷 / 03期

关键词：

Heat kernel; heat semigroup; sub-Gaussian estimates; fractals; PARABOLIC HARNACK INEQUALITIES; BROWNIAN-MOTION; DIRICHLET FORMS; TRANSITION DENSITIES; UPPER-BOUNDS; MANIFOLDS;

D O I：

10.1214/11-AOP645

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove equivalent conditions for two-sided sub-Gaussian estimates of heat kernels on metric measure spaces.

引用

页码：1212 / 1284

页数：73