Sean Sovine

activity

20142021

most citedThe Triangle Operator

2 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.CA2021★ 1 cited

Sparse bounds for maximal triangle and bilinear spherical averaging operators

Eyvindur Ari Palsson, Sean R. Sovine

We show that the method in recent work of Roncal, Shrivastava, and Shuin can be adapted to show that certain $L^{p}$ -improving bounds in the interior of the boundedness region for th…

math.CA2021

Simplex Averaging Operators: Quasi-Banach and $L^{p}$ -Improving Bounds in Lower Dimensions

Alex Iosevich, Eyvindur Ari Palsson, Sean R. Sovine

We establish some new $L^{p}$ -improving bounds for the $k$ -simplex averaging operators $S^{k}$ that hold in dimensions $d \geq k$ . As a consequence of these $L^{p}$ -improving bounds we o…

math.NT2020

Tinkering with Lattices: A New Take on the Erdős Distance Problem

Elzbieta Boldyriew, Elena Kim, Steven J. Miller +4

The Erdős distance problem concerns the least number of distinct distances that can be determined by $N$ points in the plane. The integer lattice with $N$ points is known as \texti…

math.CA2019★ 2 cited

The Triangle Operator

Eyvindur A. Palsson, Sean R. Sovine

We examine the averaging operator $T$ corresponding to the manifold in $R^{2 d}$ of pairs of points $(u, v)$ satisfying $∣ u ∣ = ∣ v ∣ = ∣ u - v ∣ = 1$ , so that ${0, u, v}$ is the…

math.LO2014★ 1 cited

The modal logic of Reverse Mathematics

Carl Mummert, Alaeddine Saadaoui, Sean Sovine

The implication relationship between subsystems in Reverse Mathematics has an underlying logic, which can be used to deduce certain new Reverse Mathematics results from existing on…