Kevin A. Hughes

activity

20102022

most citedOn the endpoint regularity of discrete maximal operators

51 citations · 138 across the 17 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CA2017★ 16 cited

Improved $ℓ^{p}$ -Boundedness for Integral $k$ -Spherical Maximal Functions

Theresa C. Anderson, Brian Cook, Kevin Hughes +1

We improve the range of $ℓ^{p} (Z^{d})$ -boundedness of the integral $k$ -spherical maximal functions introduced by Magyar. The previously best known bounds for the full $k$ -sp…

math.CA2017

On the ergodic Waring--Goldbach problem

Theresa C. Anderson, Brian Cook, Kevin Hughes +1

We prove an asymptotic formula for the Fourier transform of the arithmetic surface measure associated to the Waring--Goldbach problem and provide several applications, including bo…

Improved ℓp-Boundedness for Integral k-Spherical Maximal Functions

On the ergodic Waring--Goldbach problem

Improved $ℓ^{p}$ -Boundedness for Integral $k$ -Spherical Maximal Functions