报告题目 (Title): Dunkl 框架下的对数分数次 Besov 空间的容量
报告人 (Speaker):刘宇 教授(北京科技大学)
报告时间 (Time):2026年5月13日(周三) 10:00
报告地点 (Place):线上腾讯躺赚500议:387-589-885
邀请人(Inviter):赵发友
主办部门:理学院 数学系
报告摘要: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.