25 citations · 58 across the 13 of their papers we have counts for
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math.CA2018★ 6 cited
Lacunary Discrete Spherical Maximal Functions
Robert Kesler, Michael T. Lacey, Dario Mena
We prove new bounds for discrete spherical averages in dimensions . We focus on the case of lacunary radii, first for general lacunary radii…
math.CA2018★ 9 cited
Sparse Bounds for the Discrete Spherical Maximal Function
Robert Kesler, Michael T. Lacey, Darío Mena
We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proo…