TITLE:
Boundedness of Calderón-Zygmund Operator and Their Commutator on Herz Spaces with Variable Exponent
AUTHORS:
Omer Abdalrhman, Afif Abdalmonem, Shuangping Tao
KEYWORDS:
Calderón-Zygmund Operator, Commutator, Herz Spaces with Variable Exponent, BMO Spaces
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.4,
April
20,
2017
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.