A note on Fefferman-Stein type characterizations for certain spaces of   analytic functions in the unit disk
  We obtain new characterizations of Bergman and Bloch spaces on the unit disc involving equivalent (quasi)-norms of these spaces.Our results are in spirit of estimates obtained by Fefferman and Stein for HArdy spaces in R^n. 
Romi Shamoyan, Milos Arsenovic
math.CV