Composition Operators and the Closure of Morrey Space in the Bloch Space

Abstract

In this paper, we characterize the closure of the Morrey space in the Bloch space. Furthermore, the boundedness and compactness of composition operators from the Bloch space to the closure of the Morrey space in the Bloch space are investigated.

Product of composition and differentiation operators and closures of weighted Bergman spaces in Bloch type spaces

“…Bao and Göğüş in [4] characterized the closure of D 2 α ∩ B (-1 < α ≤ 1) in the Bloch space, where D 2 α is the Dirichlet type space. See [9,11,20,26,27,29] for more results of the closure of some function spaces in the Bloch space.…”