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Norms of composition operators on weighted Hardy spaces

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Gallardo Gutiérrez, Eva A. and Partington, Jonathan R. (2012) Norms of composition operators on weighted Hardy spaces. Israel Journal of Mathematics . ISSN 0021-2172

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Official URL: http://link.springer.com/content/pdf/10.1007%2Fs11856-012-0148-3.pdf




Abstract

The norm of a bounded composition operator induced by a disc automorphism is estimated on weighted Hardy spaces H 2(β) in which the classical Hardy space is continuously embedded. The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence β. As a by-product of our results, an estimate for the norm of any bounded composition operator on H 2(β) is obtained.


Item Type:Article
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:21126
Deposited On:26 Apr 2013 11:15
Last Modified:02 Mar 2020 09:16

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