Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights

Abstract

A non-negative, non-increasing integrable function $omega$ is an admissible weight if $omega(r)/(1 - r)^{1 + gamma}$ is non-decreasing for some $gamma > 0$ and $lim_{r to 1} omega(r) = 0.$ In this paper, we characterize boundedness and compactness of composition operators on weighted Bergman-Nevanlinna spaces with admissible weights.