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

被引：0

作者：

Fan, Zhijie ^{[1
]}

Lacey, Michael ^{[2
]}

Li, Ji ^{[3
]}

Vempati, Manasa n. ^{[2
]}

Wick, Brett d. ^{[4
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Georgia Inst Technol, Dept Math, Atlanta, GA 30332 USA

[3] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia

[4] Washington Univ St Louis, Dept Math, St Louis, MO 63130 USA

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2025年 / 75卷 / 01期

基金：

美国国家科学基金会; 澳大利亚研究理事会;

关键词：

QUANTUM DIFFERENTIABILITY; FORMULAS; BMO; OPERATORS; MAPPINGS; THEOREMS;

D O I：

10.1307/mmj/20226240

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：199 / 224

页数：26

共 30 条

[1] Schatten Classes and Commutators of Riesz Transform on Heisenberg Group and Applications
Zhijie Fan
Michael Lacey
Ji Li
Journal of Fourier Analysis and Applications, 2023, 29
[2] Schatten Classes and Commutators of Riesz Transform on Heisenberg Group and Applications
Fan, Zhijie
Lacey, Michael
Li, Ji
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2023, 29 (02)
[3] Schatten classes and commutators of Riesz transform on Heisenberg group and applications
Fan, Zhijie
Lacey, Michael T.
Li, Ji
arXiv, 2021,
[4] Compact Commutators of Riesz Transforms Associated to Schrodinger Operator
Li, Pengtao
Peng, Lizhong
PURE AND APPLIED MATHEMATICS QUARTERLY, 2012, 8 (03) : 713 - 739
[5] Lp boundedness of commutators of Riesz transforms associated to Schrodinger operator
Guo, Zihua
Li, Pengtao
Peng, Lizhong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) : 421 - 432
[6] Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrodinger Operator
Gao, Wenhua
Zhou, Wei
ADVANCES IN CIVIL ENGINEERING II, PTS 1-4, 2013, 256-259 : 2939 - 2942
[7] Some estimates for commutators of Riesz transforms associated with Schrodinger operators
Liu, Yu
Sheng, Jielai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (01) : 298 - 328
[8] ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRODINGER OPERATORS
Li, Pengtao
Peng, Lizhong
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 82 (03) : 367 - 389
[9] Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups
Fan, Zhijie
Li, Ji
McDonald, Edward
Sukochev, Fedor
Zanin, Dmitriy
JOURNAL OF FUNCTIONAL ANALYSIS, 2024, 286 (01)
[10] Weighted BMO Estimates for Commutators of Riesz Transforms Associated with Schrodinger Operator
Gao, Wenhua
SENSORS, MEASUREMENT AND INTELLIGENT MATERIALS, PTS 1-4, 2013, 303-306 : 1613 - 1617

← 1 2 3 →