– Europe/Lisbon
Room P3.10, Mathematics Building — Online
![Sanghyuk Lee](https://math.tecnico.ulisboa.pt/seminars/uploads/94/17221024358003__2024-02-19_오후_5.20.32_h180.webp)
Sanghyuk Lee, Seoul National University
Bounds on the strong spherical maximal functions
This talk concerns $L^p$ bounds on the strong spherical maximal functions that are multi-parametric maximal functions defined by averages over ellipsoids. We obtain $L^p$ bounds on those maximal operators for a certain range of nontrivial p. No such maximal bounds have been known until recently. In particular, our results extend Stein’s celebrated spherical maximal bounds to multi-parametric versions. The talk is based on joint work with Juyoung Lee and Sewook Oh.