Author(s)

Omer Abdalrhman^1,2*, Afif Abdalmonem^1,3, Shuangping Tao¹

¹College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China.
²College of Education, Shendi University, Shendi, River Nile State, Sudan.
³Faculty of Science, University of Dalanj, Dalanj, South kordofan, Sudan.

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.

Calderón-Zygmund Operator, Commutator, Herz Spaces with Variable Exponent, BMO Spaces

Abdalrhman, O. , Abdalmonem, A. and Tao, S. (2017) Boundedness of Calderón-Zygmund Operator and Their Commutator on Herz Spaces with Variable Exponent. Applied Mathematics, 8, 428-443. doi: 10.4236/am.2017.84035.