Composition Operators On The Little Bloch Type Spaces And The μ-Bergman Spaces

This paper is devoted to discuss the composition operators on the little Bloch type spaces and that on theμ-Bergman spaces in the unit ball of C~n,It consists of three chapters.In Chapter 1,the background and present conditions are introduced and summarized for the study of boundedness and compactness of composition operators.In Chapter 2,the boundedness and compactness of the composition operators between different little Bloch type spaces are discussed on the polydisc.The sufficient and necessary conditions of the boundedness and Compactness are obtained.In Chapter 3,for the normal functionμ,we will characterize thoseφfor C_φwhich are bounded(or compact) on theμ-Bergman space A~P(μ) in the unit ball of C~n.