Continuous functionals and multipliers of power series of a class of functions analytic in a polydisk (Q1603068)

The author studies multipliers on spaces \(F^{p,q}_\alpha(\mathbb{D}^n)\) of functions analytic on the polydisc \(\mathbb{D}^n\), defined by \[ F^{p,q}_\alpha(\mathbb{D}^n)= \Biggl\{f: \int_{\mathbb{D}^n} \Biggl(\int_{[0,1]^n}|f(r\xi)|^q(1- r)^\alpha dr\Biggr)^{p,q} dm_{pq}(\xi)\Biggr\}<\infty. \] {}.