Products Of Composition Operator And Differentiation Operator Between Generalized Bloch Spaces

Some properities for the products of the composition operator and differentiation operator between generalized Bloch spaces in the unit disk are disscussed in this paper. As the main results of this paper, a sufficient and necessary condition is given for the products to be bounded and compact between generalized Bloch spaces, as well as little Bloch spaces.The paper is mainly divided into six chapters.The first section is the introduction of the whole paper. Which includes the background and some notions of this paper, and the main results are given here too.Next section of the paper, some important lemmas, which are related to the main theorems, are proved.The left four parts are the prooves of the main theorems.