Complex symmetric difference of weighted composition operators on Fock space

The aim of the present paper is to completely characterize complex symmetric difference of weighted composition operators Wepz, az+b with the conjugations J and Jr, s, t defined by J f (z) = f (z) and Jr, s, t f (z) = tesz f (rz + s) on Fock space by building the relations between the parameters a, b, p, r and s. As an application, an interesting phenomenon that each operator Wepz, az+b is not complex symmetric on Fock space with Js, t, r but their difference is complex symmetric on Fock space has been discovered.