30 citations · 81 across the 9 of their papers we have counts for
7 papers · 1 filter
Multilinear maximal operators associated to simplices
Brian Cook, Neil Lyall, Akos Magyar
We establish and type bounds for multilinear maximal operators associated to averages…
Supercritical discrete restriction estimates for forms in many variables
Brian Cook, Kevin Hughes, Eyvindur Palsson
We prove discrete restriction estimates for a broad class of hypersurfaces and varieties of intermediate codimension. For our result about hypersurfaces, we use Bourgain's arithmet…
Bounds for Lacunary maximal functions given by Birch--Magyar averages
Brian Cook, Kevin Hughes
We obtain positive and negative results concerning lacunary discrete maximal operators defined by dilations of sufficiently nonsingular hypersurfaces arising from Diophantine equat…
A note on discrete spherical averages over sparse sequences
Brian Cook
This note presents an example of an increasing sequence such that the maximal operators associated to normalized discrete spherical convolution averages \[ \su…
Discrete multilinear spherical averages
Brian Cook
In this note we give a characterization of boundedness of maximal operators associated to multilinear convolution averages over spheres…
Improved -Boundedness for Integral -Spherical Maximal Functions
Theresa C. Anderson, Brian Cook, Kevin Hughes +1
We improve the range of -boundedness of the integral -spherical maximal functions introduced by Magyar. The previously best known bounds for the full -sp…