51 citations · 138 across the 17 of their papers we have counts for
4 papers · 1 filter
On restriction estimates for discrete quadratic surfaces
Kevin Henriot, Kevin Hughes
We obtain truncated restriction estimates of an unexpected form for discrete surfaces \begin{align} S = \{\, ( n_1 , \dots , n_d , R( n_1 , \dots, n_d ) ) \,,\, n_i \in [-N,N] \cap…
Discrete restriction estimates of epsilon-removal type for kth-powers and k-paraboloids
Kevin Henriot, Kevin Hughes
We obtain restriction estimates of -removal type for the set of -th powers of integers, and for discrete -dimensional surfaces of the form \[ \{ (n_1,\dots,n_d,n_1^k + \do…
The Pointillist principle for variation operators and jump functions
Kevin Hughes
We extend the pointillist principles of Moon and Carrillo--de Guzmán to variational operators and jump functions.
The discrete spherical averages over a family of sparse sequences
Kevin Hughes
We initiate the study of the -boundedness of the arithmetic spherical maximal function over sparse sequences. We state a folklore conjecture for lacunary sequ…