a1 University of Joensuu, PO Box 111, FIN-8010 Joensuu, Finland e-mail: email@example.com
a2 Institute of Mathematics, Maria Curie-Sklodowska University, pl. M. Curie-Skodowskiej 1, 20–031 Lublin, Poland
a3 University of Joensuu, PO Box 111, FIN-8010 Joensuu, Finland
In this paper we give the n-th derivative criterion for functions belonging to recently defined function spaces Qp and Qp, 0. For a special parameter value p = 1 this criterion is applied to BMOA and VMOA, and for p > 1 it is applied to the Bloch space and the little Bloch space . Further, a Carleson measure characterisation is given to Qp, and in the last section the multiplier space from Hq into Qp is considered.
(Received November 24 1997)