TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES

• 成果类型: Article
• 署名作者: Grigor'yan, Alexander; Telcs, Andras
• 署名单位: University of Bielefeld; Budapest University of Technology & Economics
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/11-AOP645
• 发表日期: 2012
• 页码: 1212-1284
• 关键词: parabolic harnack inequalities; brownian-motion; dirichlet forms; transition densities; upper-bounds; MANIFOLDS

摘要

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