J. Aust. Math. Soc.  74 (2003), 5-17
A characterization of weighted Bergman-Orlicz spaces on the unit ball in

 Yasuo Matsugu   Department of Mathematical Sciences   Faculty of Science   Shinshu University   390-8621 Matsumoto   Japan  matsugu@math.shinshu-u.ac.jp
 and
 Jun Miyazawa   Department of Mathematical Sciences   Faculty of Science   Shinshu University   390-8621 Matsumoto   Japan

Abstract
Let denote the unit ball in , and the normalized Lebesgue measure on . For , define , . Here is a positive constant such that . Let denote the space of all holomorphic functions in . For a twice differentiable, nondecreasing, nonnegative strongly convex function on the real line , define the Bergman-Orlicz space by
In this paper we prove that a function is in if and only if
where is the radial derivative of .