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Generalized composition operators on weighted Hardy spaces

✍ Scribed by Stevo Stević; Ajay K. Sharma

Book ID
113440193
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
181 KB
Volume
218
Category
Article
ISSN
0096-3003

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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