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

2018/07/03 by Chen, Peng, Li, Ji, Ward, Lesley A. +1
#42B08 #42B15 #42C10 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.00960

Abstract

We obtain weak-type (p, p) endpoint bounds for Bochner-Riesz means for the Hermite operator H=-Δ+|x|² in \mathbb Rⁿ, n≥ 2 and for other related operators for 1≤ p≤ 2n/(n+2), extending earlier results of Thangavelu and of Karadzhov.

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