伪凸域上准等距的边界扩展

2024.07.25

投稿:龚惠英部门:理学院浏览次数:

活动信息

报告题目(Title):Boundary extensions of quasi-isometries on pseudo-convex domains(伪凸域上准等距的边界扩展)

报告人 (Speaker):刘劲松(中科院数学与系统科学研究院)

报告时间 (Time):2024年7月25日(周四) 10:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):席东盟、李晋、张德凯、吴加勇

主办部门:理学院数学系

报告摘要:In this talk,by using the Gehring-Hayman-type theorem on some complex domains in C^n, we will give some results on bi-Hölder extensions not only for biholomorphisms, but also for more general Kobayashi metric quasiisometries between these domains. At last, we show that the identity map for the smoothly bounded pseudoconvex domain of finite type in C^2 extends to a bi-Hölder map between the Euclidean boundary and Gromov boundary.