On an integral-type operator between H2 space and weighted Bergman spaces

Let H(B) denote the space of all holomorphic functions on the unit ball B of C-n and Rh(z) = Sigma(n)(j=1)z(j)partial derivative h/partial derivative zj(z) the radial derivative of h. Motivated by recent results by S. Li and S. Stevic (see [8] and [9]), in this paper we study the boundedness and compactness of the following integral operator L(g)f(z) = integral(1)(0)Rf (tz)g(tz)dt/t, z is an element of B, between the Hardy space H-2 and weighted Bergman spaces.