Average radial integrability spaces of analytic functions

In this paper we introduce the family of spaces RM(p,q), 1≤p,q≤+∞. They are holomorphic functions in unit disc with average radial integrability. This contains classical Hardy (when p=∞) and Bergman p=q). We characterize inclusion between RM(p1,q1) RM(p2,q2) depending on parameters. For 1<p,q<∞, our main result provides a characterization dual RM(p,q) by means boundedness projection. show that is separable if only q<+∞. fact, provide method to build isomorphic copies ℓ∞ RM(p,∞).