Commutator of Marcinkiewicz Integral Operators on Herz-Morrey-Hardy Spaces with Variable Exponents  

作　　者：Omer Khalil Shangping Tao Bechir Mahamat Omer Khalil;Shangping Tao;Bechir Mahamat(College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China;Faculty of Education, Sudan University of Science and Technology, Khartoum, Khartoum State, Sudan)

机构地区：[1]College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China [2]Faculty of Education, Sudan University of Science and Technology, Khartoum, Khartoum State, Sudan

出　　处：《Applied Mathematics》2021年第5期421-448,共28页应用数学（英文）

摘　　要：In this paper, our aim is to prove the boundedness of commutators generated by the Marcinkiewicz integrals operator [<em>b</em>,<em>μ</em>_Ω] and obtain the result with Lipschitz function and BMO function f on the Herz-Morrey-Hardy spaces with variable exponents <img src="Edit_04b1c6c8-570f-4eb1-bb9c-047352a8c1cc.bmp" width="0" height="0" alt="" /><img src="Edit_04b1c6c8-570f-4eb1-bb9c-047352a8c1cc.bmp" alt="" />.In this paper, our aim is to prove the boundedness of commutators generated by the Marcinkiewicz integrals operator [<em>b</em>,<em>μ</em>_Ω] and obtain the result with Lipschitz function and BMO function f on the Herz-Morrey-Hardy spaces with variable exponents <img src="Edit_04b1c6c8-570f-4eb1-bb9c-047352a8c1cc.bmp" width="0" height="0" alt="" /><img src="Edit_04b1c6c8-570f-4eb1-bb9c-047352a8c1cc.bmp" alt="" />.

关 键 词：Marcinkiewicz Integral Operator Herz-Morrey-Hardy Space COMMUTATOR Variable Exponent Lipschitz Space 

分 类 号：O17[理学—数学]