报告题目：Sobolev functions on outward cuspidal domains

报 告 人：朱政博士后（韦斯屈莱大学)

报告时间：2021年10月14日  14:30-15:30

报告地点：腾讯会议(907636458）

报告摘要：

In this talk, l will introduce some results about Sobolev theory onoutward cuspidal domains. l will mainly concentrate on two topics. First, i willintroduce the equivalence of classical Sobolev spaces and Hajlasz-Sobolevspaces on outward cuspidal domains and a class of generalized domains.This bases on a joint work with Eriksson-Bique,Koskela and Maly andanother individual work by me. Second, l will introduce Sobolev extensiontheory on outward cuspidal domains. Actually, we generalize an early resultby Maz'ya and Poborchi and also prove that an arbitrary outward cuspidaldomain has some Sobolev extension property. lt completes Mazya andPoborchi's result.The second part bases on a joint work with Koskela.

报告人简介：

朱政，男，于韦斯屈菜大学(University of Jyvaskyla)博士后。研究领域为几何函数论与函数空间。在Arch.Ration. Mech. Anal.,Int. Math. Res.Not., Indiana Univ. Math.J.,J.Geom.Anal.等国际SCI刊物接收和发表论文7篇。