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arXiv · 1807.00960

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

Peng Chen·Ji Li·Lesley A. Ward·Lixin Yan
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Abstract

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

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Peng Chen, Ji Li, Lesley A. Ward, Lixin Yan. 2018-07-03. Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator. https://arxiv.org/abs/1807.00960

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