Harmonic Bloch Function Spaces and their Composition Operators


Somayye Esmaeili, Yousef Estaremi, Ali Ebadian




In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. In the sequel we investigate closed range composition operators. These results extends the similar results that were proven for composition operators on the Bloch spaces.