(Scientific Research Publishing, 2016-06) Abdalmonem, Afif; Abdalrhman, Omer; Tao, Shuangping
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.