Composition operators and closures of Dirichlet type spaces [formula omitted] in the logarithmic Bloch space

Abstract

In this paper, we characterize the closures of Dirichlet type spaces Dα in the logarithmic Bloch space. Moreover, we study the boundedness and compactness of composition operators from the logarithmic Bloch space to closures of Dirichlet type spaces Dα in the logarithmic Bloch space.