A new characterization of closure of Dirichlet type spaces in Bloch spaces and interpolating Blaschke product

Abstract

In this paper, motivated by Qian, et al \cite{QZ, QS}, we give a new  characterization for the closure of the $\mathcal{D}_{s}$ space in the Bloch space. Moreover, a new  characterization for interpolating Blaschke product in the closure of the $\mathcal{D}_{s}$ space in the Bloch space is also investigated.