Journal of Mathematical Extension (Mar 2012)
Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
Abstract
We characterize bounded and compact generalized composition operators between Bloch type spaces and weighted Dirichlet type spaces. Then, we show that these results can be employed to characterize bounded and compact Volterra type operators between these spaces. Finally, we give a connection between weighted and generalized composition operators to conclude some results about boundedness and compactness of them