Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights

Let σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D. In this paper, we give upper and lower bounds for essential norm of weighted composition operator Wψ,φ acting from weighted B...

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Bibliographic Details
Main Authors: Elina Subhadarsini, Ajay K. Sharma
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/2696713
Description
Summary:Let σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D. In this paper, we give upper and lower bounds for essential norm of weighted composition operator Wψ,φ acting from weighted Bergman spaces Apσ to Bloch-type spaces Bμ.
ISSN:2314-8888