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 kernelΦ(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 Φ(z,w)=eαzw φ(z-w)on Fock space F2.And we obtain the equivalent characterization of the bounded integral operator in Fock space with Φ(z,w)=φ(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.