Composition operators on Hilbert spaces of entire functions

In this Note, we introduce Hilbert spaces of entire functions in the complex plane . We study composition operators on these spaces and obtain, in particular, criteria for the boundedness and compactness of such operators. Our results contain the corresponding results of Chacón et al. (2007) [1] as...

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Bibliographic Details
Main Authors: Doan, Minh Luan, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/81327
http://hdl.handle.net/10220/39229
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Institution: Nanyang Technological University
Language: English
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Summary:In this Note, we introduce Hilbert spaces of entire functions in the complex plane . We study composition operators on these spaces and obtain, in particular, criteria for the boundedness and compactness of such operators. Our results contain the corresponding results of Chacón et al. (2007) [1] as particular cases.