Generalized Volterra integral operators on weighted Fock spaces induced by A∞-type weights

In this paper, we study the generalized Volterra integral operators T-g(n, m) f(z) = integral(z)(0) f((n)) (w) g((m)) (w)dw acting on the weighted Fock spaces F-alpha, omega(p), where omega is a weight satisfying certain restricted A(infinity)-conditions. Using a unified approach, the boundedness, compactness, and essential norm of the generalized Volterra integral operators T-g(n,m):F-alpha,omega 1(p) -> F-beta,omega 2(q) for all 0 < p , q < infinity are completely characterized. As an application, we generalize our results to the Fock-Sobolev-type spaces.