Subharmonic functions with a Bergman type growth

Abstract

Subharmonic functions with a Bergman-type growth on the unit ball of RN (N ∈ N, N ≥ 2) are studied jointly with their Riesz measure. Various estimations are obtained which generalize previous results due to C. Horowitz and A. A. Dolgoborodov concerning holomorphic functions in the unit disk of C, belonging for instance to the Bergman space.

Keywords

• subharmonic functions
• growth
• riesz measure
• unit ball