3 citations · 3 across the 1 of their papers we have counts for
2 papers
math.CA2022★ 3 cited
Nikodym sets and maximal functions associated with spheres
Alan Chang, Georgios Dosidis, Jongchon Kim
We study spherical analogues of Nikodym sets and related maximal functions. In particular, we prove sharp -estimates for Nikodym maximal functions associated with spheres. As…
math.CA2020
On Families between the Hardy-Littlewood and Spherical maximal functions
Georgios Dosidis, Loukas Grafakos
We study a family of maximal operators that provides a continuous link connecting the Hardy-Littlewood maximal function to the spherical maximal function. Our theorems are proved i…