Compact Composition Operator on Weighted Bergman-Orlicz Space

In this paper we study the weighted Bergman-Orlicz spaces A ϕ. Among other properties we get that A ϕ is a Banach space with the Luxemburg norm. We show that the set of analytic polynomials is dense in A ϕ. We also study compactness and continuity of the composition operator on A ϕ.