A containment association between holomorphic spaces on D

In [BK] and [KT], the Weighted Dirichlet Spaces of weight α∈(0,1),D_α (D), were discussed. In this paper, we discuss containment relations between analytic spaces on D, in general, and presents special cases of materials covered on [BK]. We make particular emphases on the weighted Dirichlet space of weight 0.5. We produce an example of the containment relationships between the multiplier algebras of the weighted Dirichlet space of weight 0.5, and the space of bounded holomorphic functions on the open unit disc.