Michael Lacey

activity

20072024

most citedMultiparameter Riesz Commutators

29 citations · 46 across the 10 of their papers we have counts for

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5 papers · 1 filter

math.FA2024

Schatten--Lorentz characterization of Riesz transform commutator associated with Bessel operators

Zhijie Fan, Michael Lacey, Ji Li +1

Let $Δ_{λ}$ be the Bessel operator on the upper half space $R_{+}^{n + 1}$ with $n \geq 0$ and $λ > 0$ , and $R_{λ, j}$ be the $j -$ th Bessel Riesz transform, $j = 1, \dots, n + 1$ . We dem…

math.FA2023

Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications

Michael T. Lacey, Ji Li, Brett D. Wick

Let $Π_{b}$ be a bounded $n$ parameter paraproduct with symbol $b$ . We demonstrate that this operator is in the Schatten class $S^{p}$ , $0 < p < \infty$ , if the symbol is in the $n$ par…

math.FA2022

Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian

Zhijie Fan, Michael Lacey, Ji Li +2

This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator $Δ_{N}$ on $R^{n}$ . Along the line of singular value esti…

math.FA2022

Schatten classes and commutator in the two weight setting, I. Hilbert transform

Michael Lacey, Ji Li, Brett D. Wick

We characterize the Hilbert--Schmidt class membership of commutator with the Hilbert transform in the two weight setting. The characterization depends upon the symbol of the commut…

math.FA2021

Schatten classes and commutators of Riesz transform on Heisenberg group and applications

Zhijie Fan, Michael Lacey, Ji Li

We study commutators with the Riesz transforms on the Heisenberg group. The Schatten norm of these commutators is characterized in terms of Besov norms of the symbol. This generali…