Extended Cesaro operators on mixed norm spaces

We define an extended Cesaro operator T-g with holomorphic symbol g in the unit ball B of C-n as T-g(f)(z) = integral(0)(1) f(tz)Rg(tz) dt/t, f is an element of H(B), z is an element of B, where Rg(z) = Sigma(j=1)(n) z(j) partial derivativef/partial derivativez(j) is the radial derivative of g. In this paper we characterize those g for which T-g is bounded (or compact) on the mixed norm space H-p,H-q(w).