The commutators of Bochner-Riesz Operators for Hermite operator

2022/07/24 by Chen, Peng, Lin, Xixi, Yan, Lixin · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.11631

Abstract

In this paper, we study the L^p-boundedness of the commutator [b, S_R^δ(H)](f) = bS_R^δ(H) f - S_R^δ(H)(bf) of a BMO function b and the Bochner-Riesz means S_R^δ(H) for Hermite operator H=-Δ+|x|² on ℝⁿ, n≥2. We show that if δ>δ(q)=n(1/q -1/2)- 1/2, the commutator [b,S_R^δ(H)] is bounded on L^p(ℝⁿ) whenever q

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