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

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Contribution

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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.