New estimates of maximal Bochner-Riesz operator in the plane

TL;DR

This paper presents new $L^p$ estimates for the maximal Bochner-Riesz operator in the plane, advancing understanding of its boundedness properties in harmonic analysis.

Contribution

It provides novel $L^p$ bounds for the maximal Bochner-Riesz operator specifically in the two-dimensional setting.

Findings

Established new $L^p$ estimates for the operator

Improved bounds over previous results

Enhanced understanding of operator behavior in the plane

Abstract

We prove some new $L^p$ estimates for maximal Bochner-Riesz operator in the plane.