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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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
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spelling doaj-29e6c0b14f1d42b9a8b4faa3105bcbe12021-01-11T02:21:36ZengHindawi LimitedJournal of Function Spaces2314-88882020-01-01202010.1155/2020/2696713Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé WeightsElina Subhadarsini0Ajay K. Sharma1Department of MathematicsDepartment of MathematicsLet 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.http://dx.doi.org/10.1155/2020/2696713
collection DOAJ
language English
format Article
sources DOAJ
author Elina Subhadarsini
Ajay K. Sharma
spellingShingle Elina Subhadarsini
Ajay K. Sharma
Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights
Journal of Function Spaces
author_facet Elina Subhadarsini
Ajay K. Sharma
author_sort Elina Subhadarsini
title Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights
title_short Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights
title_full Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights
title_fullStr Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights
title_full_unstemmed Upper and Lower Bounds for Essential Norm of Weighted Composition Operators from Bergman Spaces with Békollé Weights
title_sort upper and lower bounds for essential norm of weighted composition operators from bergman spaces with békollé weights
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/2696713
work_keys_str_mv AT elinasubhadarsini upperandlowerboundsforessentialnormofweightedcompositionoperatorsfrombergmanspaceswithbekolleweights
AT ajayksharma upperandlowerboundsforessentialnormofweightedcompositionoperatorsfrombergmanspaceswithbekolleweights
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