A characterization of Bloch-type spaces on the unit ball of Cn

In this paper we generalize Holland–Walsh’s characterization of the Bloch space and Stroethoff’s characterization of the little Bloch space on the unit disk to α-Bloch spaces and little α-Bloch spaces on the unit ball of Cn for 0<α 2. © 2006 Elsevier Inc. All rights reserved.