Generalized Weighted Composition Operators On Analytic Function Spaces

In this paper, by using theories of complex function spaces and classical Banach spaces, we study the boundedness and compactness of generalized weighted composition operators on weighted Bergman spaces and Bloch type spaces. Our main results are as follows.1. The sufficient and necessary conditions for the generalized weighted composition operator to be bounded and compact on weighted Bergman spaces are given.2. The sufficient and necessary conditions for the generalized weighted composition operator to be bounded and colnpact on Bloch type spaces are obtained.