题目：Dirichlet heat kernel estimates for cylindrical stable processes
报告人: 胡二彦, 天津大学应用数学中心
报告摘要：Let d ≥ 2, α ∈ (0,2), and X be the cylindrical α-stable process on Rd. We first present a geometric characterization of open subset D ⊂Rd so that the part process XD of X in D is irreducible. We then study the properties of the transition density functions of XD, including the strict positivity property as well as their sharp two-sided bounds in C1,1 domains in Rd. Our bounds are shown to be sharp for a class of C1,1 domains.