We describe the multiplier spaces $(H^{p,q\alpha},H^\infty)$, and $(H^{p,q\alpha},H^\infty,v,\beta)$, where $H^{p,q\alpha}$ are mixed norm spaces of analytic functions in the unit disk $\Bbb D$ and $H^\infty$ is the space of bounded analytic functions in $\Bbb D$. We extend some results from [7] and [3], particularly Theorem 4.3 in [3].