most citedThe commutators of Bochner-Riesz Operators for Hermite operator

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math.CA2023

A weighted L^2 estimate of Commutators of Bochner-Riesz Operators for Hermite operator

Peng Chen, Xixi Lin

Let H be the Hermite operator -Δ+|x|^2 on \mathbb{R}^n. We prove a weighted L^2 estimate of the maximal commutator operator \sup_{R>0}|[b, S_R^λ(H)](f)|, where [b, S_R^λ(H)](f) = b…