Boundedness And Schatten-p Class Properties Of Some Integral Operators On Fock Spaces

In this paper,we mainly study the integral operator by describing the integral kernel?(z,w)boundedness and schatten-p properties on Fock spaces.We first introduce the concepts of sufficiently localized kernel and weakly localized kernel,and prove that the corre-sponding integral operator is bounded on the Fock space Fp(1 ?p<+?);Secondly,we give some sufficient and necessary conditions for the bounded integral operator with the kernel of ?(z,w)=e?zw ?(z-w)on Fock space F2.And we obtain the equivalent characterization of the bounded integral operator in Fock space with ?(z,w)=?(zw);Finally,based on the action of a class of operators on the integral kernel,some sufficient conditions for determining the integral operator as schatten-p classes on Fock space F2 are given.