Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here. We also calculate the Hilbert-Schmidt norm of the operator on the weighted Bergman-Hilber...

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Main Author: Stevo Stević
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/801264
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spelling doaj-de4b0cae028f495a887602f1959d1b952020-11-24T22:08:33ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/801264801264Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit BallStevo Stević0Mathematical Institute of the Serbian Academy of Science and Arts, Knez Mihailova 36/III, 11000 Beograd, SerbiaThe boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here. We also calculate the Hilbert-Schmidt norm of the operator on the weighted Bergman-Hilbert space as well as on the Hardy 𝐻2 space.http://dx.doi.org/10.1155/2010/801264
collection DOAJ
language English
format Article
sources DOAJ
author Stevo Stević
spellingShingle Stevo Stević
Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball
Abstract and Applied Analysis
author_facet Stevo Stević
author_sort Stevo Stević
title Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball
title_short Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball
title_full Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball
title_fullStr Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball
title_full_unstemmed Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball
title_sort weighted iterated radial composition operators between some spaces of holomorphic functions on the unit ball
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2010-01-01
description The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here. We also calculate the Hilbert-Schmidt norm of the operator on the weighted Bergman-Hilbert space as well as on the Hardy 𝐻2 space.
url http://dx.doi.org/10.1155/2010/801264
work_keys_str_mv AT stevostevic weightediteratedradialcompositionoperatorsbetweensomespacesofholomorphicfunctionsontheunitball
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