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Boundedness of Calderón-Zygmund Operator and Their Commutator on Herz Spaces with Variable Exponent

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Document pages: 16 pages

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.

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