  It is well known that a function is in a Bergman space of the unit ball if
and only if it satisfies some Hardy-type inequalities. We extend this fact to
Bergman-Orlicz spaces. As applications, we obtain Gustavsson-Peetre
interpolation of two Bergman-Orlicz spaces and we completely characterize
symbols of bounded or compact Ces\`aro-type operators on Bergman-Orlicz spaces,
extending known results for classical weighted Bergman spaces.
