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

doi:10.1307/mmj/20226240

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

Department of Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator ΔN on Rn. Along the line of singular value estimates for Riesz transform commutators established by Janson andWolff and Rochberg and Semmes, we establish a full range of Schatten-p class characterization for these commutators.

Original language	English
Pages (from-to)	199-224
Number of pages	26
Journal	Michigan Mathematical Journal
Volume	75
Issue number	1
DOIs	https://doi.org/10.1307/mmj/20226240
State	Published - Mar 2025

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abstract = "This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator ΔN on Rn. Along the line of singular value estimates for Riesz transform commutators established by Janson andWolff and Rochberg and Semmes, we establish a full range of Schatten-p class characterization for these commutators.",

author = "Zhijie Fan and Michael Lacey and Ji Li and Vempati, {Manasa N.} and Wick, {Brett D.}",

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AU - Fan, Zhijie

AU - Lacey, Michael

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AU - Wick, Brett D.

PY - 2025/3

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AB - This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator ΔN on Rn. Along the line of singular value estimates for Riesz transform commutators established by Janson andWolff and Rochberg and Semmes, we establish a full range of Schatten-p class characterization for these commutators.

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JO - Michigan Mathematical Journal

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Besov Space, Schatten Classes, and Commutators of Riesz Transforms Associated with the Neumann Laplacian

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