Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights

Document Type: Original Article

Authors

Department of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-182320, J&K, India.

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.

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