Abstract. In this paper we find the spaces of multipliers $(H^{p,q.\alpha },l^s)$, except when $1< p< 2$ and $0< s< p/(p-1)$, and, for certain values of parameters the spaces of multipliers $(H^{p,q,\alpha },H^{u,v,\beta })$, where $H^{p,q,\alpha }$ denotes the space of analytic functions on the unit disc such that $(1-r)^\alpha M_p(r,f)\in L^q(dr/(1-r))$. In particular, we calculate the multipliers from Bergman and Hardy spaces into Bloch space.

AMS Subject Classification (1991): 42A45

Received February 10, 1998 and in revised form July 23, 1998. (Registered under 3307/2009.)