E. Palsson

activity

20152025

collaborators

Showing 2021Show all

3 papers · 1 filter

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.CO2021

Distinct Angle Problems and Variants

Henry L. Fleischmann, Hongyi B. Hu, Faye Jackson +4

The Erdős distinct distance problem is a ubiquitous problem in discrete geometry. Less well known is Erdős' distinct angle problem, the problem of finding the minimum number of dis…

math.CO2021

Angle chains and pinned variants

Eyvindur Ari Palsson, Steven Senger, Charles Wolf

We study a variant of the Erd\H os unit distance problem, concerning angles between successive triples of points chosen from a large finite point set. Specifically, given a large f…

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

Distinct Angle Problems and Variants

Angle chains and pinned variants

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