Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc

The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized. Moreover, the norm of the operator in terms of the inducing function and weights is estimated.

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Bibliographic Details
Main Author: Stevo Stević
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2009/742019
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author Stevo Stević
author_facet Stevo Stević
author_sort Stevo Stević
collection DOAJ
description The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized. Moreover, the norm of the operator in terms of the inducing function and weights is estimated.
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institution Kabale University
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publishDate 2009-01-01
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spelling doaj-art-23a90f517dff4d36b8538fe463b31fb72025-02-03T01:32:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/742019742019Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit DiscStevo Stević0Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, SerbiaThe boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized. Moreover, the norm of the operator in terms of the inducing function and weights is estimated.http://dx.doi.org/10.1155/2009/742019
spellingShingle Stevo Stević
Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
Discrete Dynamics in Nature and Society
title Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
title_full Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
title_fullStr Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
title_full_unstemmed Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
title_short Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
title_sort composition operators from the weighted bergman space to the 𝑛th weighted spaces on the unit disc
url http://dx.doi.org/10.1155/2009/742019
work_keys_str_mv AT stevostevic compositionoperatorsfromtheweightedbergmanspacetothenthweightedspacesontheunitdisc