11-03【陈学长】Log-Sobolev Inequality on Spheres and Sobolev Trace Inequality on Balls

发布时间:2023-10-18来源:几何与物理研究中心中文网页浏览次数:38

报告人:陈学长(南京大学)

时间:2023年11月3日11:00-12:00    

地点: 中科大上海研究院2号楼414



 We start with Lebedev-Milin inequality on the unit disk and its generalization. Next we go to the recent work of Chang-Hangon Moser-Trudinger-Onofri inequalities under constraints, and somfurther results obtained in our joint work with my Phd student Shihong Zhang.Third, three families of Sobolev trace inequalities on balls under higher order moments constraint will be mentioned, this is due to our joint work with Wei Wei and Nan Wu. Finally, we shall talk about our future plan: What is the relationship between Sobolev trace inequality on balls and log-Sobolev inequality on spheres under the same constraint?