Lipschitz Estimates for Commutators of Singular Integral Operators on Weighted Herz Spaces

Yan Lin; Zongguang Liu; Mingming Song

Lipschitz Estimates for Commutators of Singular Integral Operators on Weighted Herz Spaces

Authors

Yan Lin
Zongguang Liu
Mingming Song

Keywords:

Commutator, Weighted Lipschitz function, Calder´on-Zygmund operator, Weighted Herz space.

Abstract

In this paper, we establish the boundedness of commutators generated by weighted Lipschitz functions and Calder´on-Zygmund singular integral operators on weighted Herz spaces.

Key words and phrases. Commutator, Weighted Lipschitz function, Calder´on-Zygmund operator, Weighted Herz space.

2000 Mathematics Subject Classification. Primary: 42B20, Secondary: 42B35

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Published

2025-05-18

How to Cite

Yan Lin, Zongguang Liu, & Mingming Song. (2025). Lipschitz Estimates for Commutators of Singular Integral Operators on Weighted Herz Spaces. Jordan Journal of Mathematics and Statistics, 3(1), 53–64. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1189