Duality for large Bergman-Orlicz spaces and Hankel operators between Bergman-Orlicz spaces on the unit ball

摘要

For B-n, the unit ball of C-n, we consider Bergman-Orlicz spaces of holomorphic functions in L-alpha(Phi), which are generalizations of classical Bergman spaces. We characterize the dual space of large Bergman-Orlicz space, and bounded Hankel operators between some Bergman-Orlicz spaces A(alpha)(Phi 1) (B-n) and A(alpha)(Phi 2) (B-n), where Phi(1) and Phi(2) are either convex or concave growth functions.