Fractional integrals on weighted Hardy spaces

In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces H p w(Rn), we give the weighted boundedness of the homogeneous fractional integral operator TΩ,α from H p wp (Rn) to L q wq (Rn), and from H p wp (Rn) to H q wq (Rn).  2003 Elsevier Science (USA). All rights reserved.