Weighted norm inequalities for fractional integral operators with rough kernel

Given function Omega on R-n, we define the fractional maximal operator and fractional integral operator by M(Omega.alpha)f(x) = sup 1/r>0(rn-alpha)integral(\y\<r)\Omega(y)parallel to f(x-y)\dy and T(Omega.alpha)f(x) = integral R-n Omega(y)/\y\(n-alpha)f(x-y) dy respectively, where 0 < alpha < n. In this paper we study the weighted norm inequalities of M-Omega.alpha and T-Omega.alpha for appropriate alpha, s and A(p,q) weights in the case that Omega epsilon L-s (Sn-1) (s > 1), homogeneous of degree zero.