Sean Sovine

collaborators

2 papers

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…

Simplex Averaging Operators: Quasi-Banach and Lp-Improving Bounds in Lower Dimensions

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

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