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Boundedness of Calderón-Zygmund Operator and Their Commutator on Herz Spaces with Variable Exponent
College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
Faculty of Science, University of Dalanj, Dalanj, South kordofan, Sudan
College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
College of Education, Shendi University, Shendi, River Nile State, Sudan
- 1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
- 2 Faculty of Science, University of Dalanj, Dalanj, South kordofan, Sudan
- 3 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China
- 4 College of Education, Shendi University, Shendi, River Nile State, Sudan
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Abstract
The aim of this paper is to study the boundedness of Calderón-Zygmund operator and their commutator on Herz Spaces with two variable exponents p (.), q (.). By applying the properties of the Lebesgue spaces with variable exponent, the boundedness of the Calderón-Zygmund operator and the commutator generated by BMO function and Calderón-Zygmund operator is obtained on Herz space.
KeywordsCalderón-Zygmund OperatorCommutatorHerz Spaces with Variable ExponentBMO Spaces
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