汇报标题 (Title)： Dunkl 框架下的对数分数次 Besov 空间的容量
汇报人 (Speaker)：刘宇 教授（北京科技大学）
汇报功夫 (Time)：2026年5月13日（周三） 10:00
汇报地址 (Place)：线上腾讯会议：387-589-885
约请人(Inviter)：赵发友
主办部门：理学院 数学系
汇报提要：In this talk, we introduce the logarithmic fractional Sobolev space via the generalized translation operator on the Dunkl setting and establish several functional-geometric properties of its associated capacity. Furthermore, the continuous embedding of this space into \(L^p(\mu)\) in terms of either the logarithmic fractional Sobolev capacity or a variational functional of a nonnegative Radon measure \(\mu\) is characterized. This work is joint with M. Shi, X. Liu and N. Zhao.
