Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces

Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces

We characterize bounded and compact generalized composition operators between Bloch type spaces and weighted Dirichlet type spaces. Then, we show that these results can be employed to characterize bounded and compact Volterra type operators between these spaces. Finally, we give a connection bet...

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Main Authors: Sh. Rezaei∗, H. Mahyar
Format: Article
Language:English
Published: Islamic Azad University 2012-03-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/94
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spelling doaj-38e07d9742c242d98f7fbc09aac86ac22020-11-25T04:00:11ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992012-03-01611128Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type SpacesSh. Rezaei∗0H. Mahyar1Aligudarz Branch, Islamic Azad UniversityKharazmi UniversityWe characterize bounded and compact generalized composition operators between Bloch type spaces and weighted Dirichlet type spaces. Then, we show that these results can be employed to characterize bounded and compact Volterra type operators between these spaces. Finally, we give a connection between weighted and generalized composition operators to conclude some results about boundedness and compactness of themhttp://ijmex.com/index.php/ijmex/article/view/94
collection DOAJ
language English
format Article
sources DOAJ
author Sh. Rezaei∗
H. Mahyar
spellingShingle Sh. Rezaei∗
H. Mahyar
Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
Journal of Mathematical Extension
author_facet Sh. Rezaei∗
H. Mahyar
author_sort Sh. Rezaei∗
title Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
title_short Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
title_full Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
title_fullStr Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
title_full_unstemmed Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
title_sort generalized composition operators between weighted dirichlet type spaces and bloch type spaces
publisher Islamic Azad University
series Journal of Mathematical Extension
issn 1735-8299
1735-8299
publishDate 2012-03-01
description We characterize bounded and compact generalized composition operators between Bloch type spaces and weighted Dirichlet type spaces. Then, we show that these results can be employed to characterize bounded and compact Volterra type operators between these spaces. Finally, we give a connection between weighted and generalized composition operators to conclude some results about boundedness and compactness of them
url http://ijmex.com/index.php/ijmex/article/view/94
work_keys_str_mv AT shrezaei generalizedcompositionoperatorsbetweenweighteddirichlettypespacesandblochtypespaces
AT hmahyar generalizedcompositionoperatorsbetweenweighteddirichlettypespacesandblochtypespaces
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