Upper Bounds of Heat Kernels on Doubling Spaces

نویسندگان

  • ALEXANDER GRIGOR’YAN
  • JIAXIN HU
چکیده

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 arguemtn, while the second part focuses on the probabilistic aspects where the exit time plays an important role.

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تاریخ انتشار 2010