Weighted Composition Operators On Several Complex Function Spaces

In this paper, we mainly study the weighted composition operator between some spaces of analytic function on the unit disk D of the complex plane. The spaces we considered here contain the weighted Bergman spaces,?B spaces,?logB spaces,Zygmund type space. We characterize, in function theoretic terms, in what conditions the operator is bounded or compact between these function spaces.This paper is divided into five chapters. In the first chapter, describes the background and the main content of this research. In the second chapter, it gives the desired symbols,terms and definitions. The third chapter studies the boundedness and compactness of the weighted composition operator from Zygmund type space to Bloch type space. The fourth chapter studies the boundedness and compactness of the weighted composition operator from?pA space tolog?B space.