Higher radial derivative of functions of Qp spaces and its applications

In this paper, we give some characterizations of the integral and Carleson type measure both associated with higher radial derivative for holomorphic functions of Qp,0 and Qp spaces in the unit ball of Cn. As applications, some sharp forms of the relations between Dirichlet type spaces and Qp,0 spaces are shown by means of higher radial derivative, Carleson type measure and constructive methods for the cases of determinism and randomization, respectively. © 2006 Elsevier Inc. All rights reserved