Orlicz-Bergman Spaces And It's Composition Operators

In this paper, we generalize the known Bergman spaces, define a new kind of space-Bergman-Orlicz space and present properties of these new spaces. We prove that it is a subspace of the Orlize space. Then we study the boundedness, invertibility and Fredholmness of composition operators on Bergman-Orlicz spaces. Finally we get a necessary and sufficient condition for a composition operator to be a compact operator and compute the spectrum of the compact composition operator.