Speaker: Xuezhang Chen (Nanjing University)
Time: 11:00-12:00, Nov 3, 2023
Room: USTC Shanghai lnstitute for Advanced Studies, Room 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 some further 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?
