– Europe/Lisbon
Room P3.10, Mathematics Building — Online
![Juyoung Lee](https://math.tecnico.ulisboa.pt/seminars/uploads/94/17221049525970_17192448194628__여권사이즈_h180.webp)
Juyoung Lee, Seoul National University
Two parameter maximal average over tori
We consider a torus embedded in the 3-dimensional Euclidean space. It has a natural two-parameter scaling structure. Under this structure, we can consider a two parameter maximal average over the tori. We study the sharp boundedness of this maximal function, its Sobolev regularity, and local smoothing properties. We compare this result with the one parameter maximal function.