Nikodym-type spherical maximal functions

by Prof. Alan Chang (Princeton University)

Wednesday 25 Jan 2023, 17:00 → 18:00 Europe/Rome

Sala Seminari (Dipartimento di Matematica)

We study $L^p$ bounds on Nikodym maximal functions associated to spheres. In contrast to the spherical maximal functions studied by Stein and Bourgain, our maximal functions are uncentered: for each point in  $\mathbb R^n$, we take the supremum over a family of spheres containing that point.