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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Bibliographic Details
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
Description
Summary: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
ISSN:1735-8299
1735-8299