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arXiv · 2210.04358

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

Zhijie Fan·Michael Lacey·Ji Li·Manasa N. Vempati·Brett D. Wick
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Abstract

This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator $\Delta_N$ on $\mathbb R^n$. Along the line of singular value estimates for Riesz transform commutators established by Janson--Wolff and Rochberg--Semmes, we establish a full range of Schatten-$p$ class characterization for these commutators.

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Zhijie Fan, Michael Lacey, Ji Li, Manasa N. Vempati, Brett D. Wick. 2022-10-09. Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian. https://arxiv.org/abs/2210.04358

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