UPPER BOUNDS OF HEAT KERNELS ON DOUBLING SPACES

作者：Grigor' yan Alexander; Hu Jiaxin

来源：Moscow Mathematical Journal, 2014, 14(3): 505-563.

DOI：10.17323/1609-4514-2014-14-3-505-563

• Dirichlet form
• doubling measure
• heat kernel
• maximum principle
• exit time

In this paper we give various equivalent characterizations of upper estimates of heat kernels of regular, conservative and local Dirichlet forms on doubling spaces, from both the analytic and probabilistic points of view. The first part of this paper uses purely analytic argument, while the second part focuses oil the probabilistic aspects, where the exit time plays an important role.

• 出版日期2014-9
• 单位清华大学