Boundedness of Marcinkiewicz integral with rough kernel and their commutator on weighted Herz space with variable exponent

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Published Jun 18, 2023

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Omer Khalil
College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China; Faculty of Education, Sudan University of Science and Technology, Khartoum, Sudan
Shuang Ping Tao
College Of Mathematics And Statistics, Northwest Normal University , Lanzhou 730070, China
Acyl Mahamat Bechir
Faculty of Sciences and Technology, Adam Barka University of Abeche, Abeche, Chad

Abstract

 In this paper, we will study the boundedness of Marcinkiewicz integral with rough kernel and their commutators generated by Marcinkiewicz integral and Lipγ(Rn) function on weighted Herz spaces with variable exponent.

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How to Cite
Khalil, O., Ping Tao, S., & Bechir, A. (2023). Boundedness of Marcinkiewicz integral with rough kernel and their commutator on weighted Herz space with variable exponent. Acta Mathematica Universitatis Comenianae, 92(2), 145-163. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1834/988
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Issue
Vol 92 No 2 (2023): AMUC
Section
Articles