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

^*Corresponding author for this work

School of Mathematical and Physical Sciences

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

1 Citation (Scopus)

Abstract

This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator Δ_N 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
Publication status	Published - Mar 2025

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10.1307/mmj/20226240

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

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.}",

year = "2025",

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language = "English",

volume = "75",

pages = "199--224",

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publisher = "University of Michigan",

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T1 - Besov Space, Schatten Classes, and Commutators of Riesz Transforms Associated with the Neumann Laplacian

AU - Fan, Zhijie

AU - Lacey, Michael

AU - Li, Ji

AU - Vempati, Manasa N.

AU - Wick, Brett D.

PY - 2025/3

Y1 - 2025/3

N2 - 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.

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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UR - http://purl.org/au-research/grants/arc/DP220100285

U2 - 10.1307/mmj/20226240

DO - 10.1307/mmj/20226240

M3 - Article

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VL - 75

SP - 199

EP - 224

JO - Michigan Mathematical Journal

JF - Michigan Mathematical Journal

IS - 1

ER -

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

Abstract

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DP22: Harmonic analysis of Laplacians in curved spaces

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

Abstract

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DP22: Harmonic analysis of Laplacians in curved spaces

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