Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces

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Date
2016-06Author
Abdalmonem, Afif
Abdalrhman, Omer
Tao, Shuangping
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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.