Fractional Operators with Homogeneous Kernels in Two Weighted Herz Spaces with Variable Exponents

The boundedness of the fractional operators with homogeneous kernels on the two weighted Herz spaces with variable exponents is obtained by using the function decomposition of the two weighted Herz spaces with variable exponents and hierarchical estimation methods, as well as the boundedness on the Lebesgue spaces with variable exponent.