Product Of Composition Operator And Volterra Type Operator Between Bloch Type Spaces And Besov Spaces

In this paper, we investigate the boundedness and compactness of the product of a composition operator Cφ and a Volterra operator Jg between Bloch type spaces and Besov spaces. We have obtained the necessary condition and sufficient condition for the product operator Jφ,g:Bβâ†' Bp to be bounded. The necessary condition and sufficient condition for the compactness of the operator Jφ,g:Bβâ†'Bp are also obtained. We have also obtained the conditions of boundedness and compactness of the operator Jφ,g:Bpâ†'β.In chapter 1, we discuss some related research background, and give some basic concepts and notations. At last, we show the significance of the research work.In chapter 2, we describe the boundedness and compactness of the operator Jφ,g Bβâ†' Bp in term of the symbol function g and φ.In chapter 3, we describe the boundedness and compactness of the operator Jφ,g Bp â†'Bβ in term of the symbol function g and φ.In chapter 4, we give the questions that we have not solved in thie paper and then remark the main ideas we have used in solving our questions in this paper.