On the dual space of a weighted Bergman space on the unit ball of Cn

Abstract

The weighted Bergman space Aαp(Bn)(0<p<1), of the holomorphic functions on the unit ball Bn of Cn forms an F-space. We find the dual space of Aαp(Bn) by determining its Mackey topology.

Keywords

• Hardy space
• Bergman space
• Mackey topology.