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

Abdalmonem, AfifAbdalrhman, OmerTao, Shuangping2016-07-212016-07-212016-06http://dx.doi.org/10.4236/am.2016.710104http://hdl.handle.net/123456789/878In 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.enFractional IntegralVariable KernelCommutatorVariable ExponentLipschitz SpaceHerz SpacesBoundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz SpacesArticle