English

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

Classical Analysis and ODEs 2018-08-30 v2 Analysis of PDEs

Abstract

We obtain weak-type (p,p)(p, p) endpoint bounds for Bochner-Riesz means for the Hermite operator H=Δ+x2H=-\Delta +|x|^2 in Rn,n2{\mathbb R}^n, n\geq 2 and for other related operators for 1p2n/(n+2)1\leq p\leq 2n/(n+2), extending earlier results of Thangavelu and of Karadzhov.

Cite

@article{arxiv.1807.00960,
  title  = {Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator},
  author = {Peng Chen and Ji Li and Lesley A. Ward and Lixin Yan},
  journal= {arXiv preprint arXiv:1807.00960},
  year   = {2018}
}
R2 v1 2026-06-23T02:48:53.565Z