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Norms of composition operators on weighted Hardy spaces

✍ Scribed by Eva A. Gallardo-Gutiérrez, Jonathan R. Partington

Book ID
120953218
Publisher
The Hebrew University Magnes Press
Year
2013
Tongue
English
Weight
154 KB
Volume
196
Category
Article
ISSN
0021-2172

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Let , be analytic functions defined on ‫,ބ‬ such that ‫ބ‬ : ‫.ބ‬ The operator Ž . given by f ¬ f ( is called a weighted composition operator. In this paper we deal with the boundedness, compactness, weak compactness, and complete continu-Ž . ity of weighted composition operators on Hardy spaces H 1

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## Abstract We investigate the composition operators on the weighted Hardy spaces __H__^2^(__β__). For any bounded weight sequence __β__, we give necessary conditions for those operators to be isometric. The sufficiency of those conditions is well‐known for the classical space __H__^2^. In the case