Europe/Lisbon
Room P3.10, Mathematics Building — Online

Juyoung Lee
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.

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