Fractional operators with homogeneous kernels in weighted Herz spaces with variable exponent.

Let Ω ∈ L s (S n − 1) , with s ≥ 1 , be a homogeneous function of degree zero. In this paper, we establish the boundedness of the homogeneous fractional integral operator on weighted Herz spaces with variable exponent K ˙ p (⋅) α , q (w). [ABSTRACT FROM AUTHOR]