Integral-type operators acting between weighted-type spaces on the unit ball

Let B denote the unit ball in Cn and H(B) the space of all holomorphic functions on B. We study the boundedness and compactness of the following integral-type operatorsIφgf(z)=∫01Rf(φ(tz))g(tz)dtt,z∈B,where g∈H(B),g(0)=0,φ is a holomorphic self-map of B and Rf is the radial derivative of f, between weighted-type spaces on the unit ball.