Let (Ω, F; P) be a complete probability space on which an increasing and right continuous family of complete sub-σ-algebras {Ft}t≥0 of {F} is defied.N(ds; du) is the Poisson measure with σ-finite intensity measure λ(du) on measurable set Z.(N)(ds; du) :=N(ds; du)λ(du)ds is the compensating {Ft}t≥0 martingale measure.W(t) is the cylin-drical Wiener process with covariance operator I.Q is a trace class.Assume W(t) and eN(dt; du) are independent.Let T2 =R2/Z2 be the torus.