Composition Operators on Weighted Bergman-Nevanlinna Spaces with Admissible Weights

Document Type : Original Article

Authors

Ajay K. Sharma

Elina Subhadarsini

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

10.22034/kjm.2017.43830

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.

Keywords

Composition operator

weighted Bergman Nevanlinna space

Carleson measure

vanishing Carleson measure

Subjects

• 30 Functions of a complex variable
• 46 Functional analysis
• 47 Operator theory

---