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

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.

Bibliographic Details
Main Authors: Chen, Peng, Li, Ji, Ward, Lesley, Yan, Lixin
Format: Article
Language:English
Published: Académie des sciences 2022-02-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.265/