题目：Heat kernel estimates for singular non-local Dirichlet forms on metric measure spaces
报告人：胡二彦（天津大学）

时间：4月15日（周一）上午10:00
地点：管理科研楼1218

摘要：
We first introduce the results on heat kernel estimates for non-local Dirichlet forms when jump kernel is stable-like, which is one of the non-singular cases. For singular non-local Dirichlet forms, it was studied on ultrametric spaces. Recently, we generalize this result from ultrametric spaces to general metric measure spaces. That is, certain type of heat kernel bounds on general metric spaces are equivalent to the following three conditions: the tail estimate of jump measure, Poincaré inequality and generalized capacity condition.

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