Toeplitz operators between Bergman-Orlicz spaces

Given a positive Borel measure mu on the unit disk D, let K-z(a) (w) = 1/(1-(z) over barw)(2+alpha) be the reproducing kernel of A(alpha)(2)(D) at z. The Toeplitz operators with symbol mu are densely defined as follows: T-mu(f)(z) = integral(D) f(w)<(Kaz(w))over bar>d mu(w), f epsilon H-infinity (D). Using the tools such as Carleson measures, Berezin transform and the average functions, we characterize the boundedness and compactness of Toeplitz operators T-mu acting between two different Bergman-Orlicz spaces A(alpha)(Phi 1) (D) and A(alpha)(Phi 2) (D) for two convex growth functions Phi(1) and Phi(2).