Operator Function On Generalized Fock Space

In this paper,we mainly characterize the boundedness,compactness and Schatten-p class for a product of Volterra type integral and composition operator between generalized Fock space F?p(O<p<?)and F?q(0<q<?),on Fock type space F?2 by Berezin type integral transform.Meanwhile,we estimate these operators' essential norm.In Chapter 1,introduction mainly claims the historical background of the generalized Fock space,Fock-type space,Volterra type operators and composition operators on these two spaces.Then,we give the preliminary knowledge and show the main results of the paper.In Chapter 2,we get the boundedness,compactness,Schattern-p class prop-erties for a product of Volterra type integral and composition operator between generalized Fock spaces,and estimate essential norm for a product of Volterra type integral operator and composition operator.In Chapter 3,we get the boundedness,compactness,Schattern-p class prop-erties for a product of Volterra type integral and composition operator on Fock type space,and estimate essential norm for a product of Volterra type integral and composition operator.