Geodesic
Boundedness of Marcinkiewicz integral with rough kernel and their commutator on weighted Herz space with variable exponent
Omer Khalil1 ; Shuang Ping Tao2 ; Acyl Mahamat Bechir3 ; Omer Khalil ; Shuang Ping Tao ; Acyl Mahamat Bechir
1College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China; Faculty of Education, Sudan University of Science and Technology, Khartoum, Sudan
2College Of Mathematics And Statistics, Northwest Normal University , Lanzhou 730070, China
3Faculty of Sciences and Technology, Adam Barka University of Abeche, Abeche, Chad
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 145-163 
Omer Khalil; Shuang Ping Tao; Acyl Mahamat Bechir; Omer Khalil; Shuang Ping Tao; Acyl Mahamat Bechir. Boundedness of Marcinkiewicz integral with rough kernel and their commutator  on weighted Herz space with  variable exponent. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 145-163. http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a3/
@article{AMUC_2023_92_2_a3,
     author = {Omer Khalil and Shuang Ping Tao and Acyl Mahamat Bechir and Omer Khalil and Shuang Ping Tao and Acyl Mahamat Bechir},
     title = { Boundedness of {Marcinkiewicz} integral with rough kernel and their commutator  on weighted {Herz} space with  variable exponent},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {145--163},
     year = {2023},
     volume = {92},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a3/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.