Essential Norm of Composition Operator as a Mapping on Weighted Bergman Space with Regular Weight

Theory of Approximation and Applications

مقاله 4، دوره 16، شماره 2، دی 2022، صفحه 23-36   

نوع مقاله: Research Articles

نویسنده

Shayesteh Rezaei^*

Department of Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran.

چکیده

‎The main purpose of this paper is to establish a unified approach to some criteria for the boundedness and‎
some quantities for the essential norm of composition operator acting on the weighted Bergman space $\mathcal{A}_\omega^p$ ‎‎, where the weight function ‎ω ‎belongs ‎to ‎the ‎class ‎‎$\mathcal{R}$ ‎of ‎regular ‎weights. ‎W‎e express the essential norm in terms of the generalized Nevanlinna counting function associated with analytic self map $\varphi$ ‎and ‎regular ‎weight ‎ω

کلیدواژه‌ها

Essential norm؛ Composition operator‎؛ ‎Weighted Bergman space‎؛ Regular weight