On the Bochner-Riesz operator in $\mathbb{R}^3$

TL;DR

This paper advances the understanding of the Bochner-Riesz operator in three-dimensional space by improving the conjectured bounds on the operator's boundedness.

Contribution

It provides an improved bound for the Bochner-Riesz conjecture in , refining previous results and narrowing the gap towards the conjecture's resolution.

Findings

Established new bounds for the Bochner-Riesz operator in 

Improved the known range of p for boundedness

Contributed to the ongoing effort to prove the Bochner-Riesz conjecture

Abstract

We improve the Bochner-Riesz conjecture in $\mathbb{R}^3$ to $\max\{p,p/(p-1)\}\geq3.25$.