Article number 109262In this paper we introduce the family of spaces RM(p, q),
1 ≤ p, q ≤ +∞. They are spaces of holomorphic functions
in the unit disc with average radial integrability. This
family contains the classical Hardy spaces (when p = ∞)
and Bergman spaces (when p = q). We characterize the
inclusion between RM(p1, q1) and RM(p2, q2) depending on
the parameters. For 1 < p, q < ∞, our main result provides a
characterization of the dual spaces of RM(p, q) by means
of the boundedness of the Bergman projection. We show
that RM(p, q) is separable if and only if q < +∞. In fact,
we provide a method to build isomorphic copies of ∞ in
RM(p, ∞).Feder (UE) PGC2018-094215-B-100Junta de Andalucía(España) FQM-104Junta de Andalucía(España) FQM13
