Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces
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Date
2016-06
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Publisher
Scientific Research Publishing
Abstract
In this paper, we study the boundedness of the fractional integral operator and their commutator on Herz spaecs with two variable exponents . By using the properties of the variable exponents Lebesgue spaces, the boundedness of the fractional integral operator and their commutator generated by Lipschitz function is obtained on those Herz spaces.
Description
Keywords
Fractional Integral, Variable Kernel, Commutator, Variable Exponent, Lipschitz Space, Herz Spaces