Nikodym-type spherical maximal functions – Alan Chang (Princeton University)


Dipartimento di Matematica, Sala Seminari.


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.

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