报告问题(Title):Boundary extensions of quasi-isometries on pseudo-convex domains(伪凸域上准等距的界线扩展)
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
报告所在 (Place):校本部GJ303
约请人(Inviter):席东盟、李晋、张德凯、吴加勇
主理部分: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-H?lder 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-H?lder map between the Euclidean boundary and Gromov boundary.