In this paper, we give some characterizations of the integral and Carleson type measure both associated with higher radial derivative for holomorphic functions of Q p,0 and Q p spaces in the unit ball of C n . As applications, some sharp forms of the relations between Dirichlet type spaces and Q p,0 spaces are shown by means of higher radial derivative, Carleson type measure and constructive methods for the cases of determinism and randomization, respectively.