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 2019Show all

2 papers · 1 filter

math.CA2019★ 6 cited

Discrete restriction for $(x, x^{3})$ and related topics

Kevin Hughes, Trevor D. Wooley

Defining the truncated extension operator $E$ for a sequence $a (n)$ with $n \in Z$ by putting \[ E{a}(α,β):=\sum_{|n|\leq N}a(n) e(αn^3 + βn), \] we obtain the conjecture…

math.CA2019

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…

Discrete restriction for (x,x3) and related topics

Bounds for Lacunary maximal functions given by Birch--Magyar averages

Discrete restriction for $(x, x^{3})$ and related topics