Essential Norm of Composition Operator as a Mapping on Weighted Bergman Space with Regular Weight
محورهای موضوعی : Mathematical Analysis
1 - Department of Mathematics, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran.
کلید واژه: Essential norm, Weighted Bergman space, Composition operator, Regular weight,
چکیده مقاله :
The main purpose of this paper is to establish a unified approach to some criteria for the boundedness andsome 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
