Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator

Abstract

We obtain weak-type $(p,p)$ endpoint bounds for Bochner-Riesz means for the Hermite operator $H=-\Delta +|x{|}^2$ in ${\mathbb{R}}^n,n\ge 2$ and for other related operators for $1\le p\le 2n/(n+2)$, extending earlier results of Thangavelu and of Karadzhov.