地 点：腾讯线上会议 907 636 458
报告摘要：In this talk, I will introduce some results about Sobolev theory on outward cuspidal domains. I will mainly concentrate on two topics. First, I will introduce the equivalence of classical Sobolev spaces and Hajlasz-Sobolev spaces on outward cuspidal domains and a class of generalized domains. This bases on a joint work with Eriksson-Bique, Koskela and Mal´y and another individual work by me. Second, I will introduce Sobolev extension theory on outward cuspidal domains. Actually, we generalize an early result by Maz'ya and Poborchi and also prove that an arbitrary outward cuspidal domain has some Sobolev extension property. It completes Maz'ya and Poborchi's result. The second part bases on a joint work with Koskela.
报告人简介：朱政，男，于韦斯屈莱大学 (University of Jyväskylä) 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。