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CLASSICAL PROPERTIES OF COMPOSITION OPERATORS ON HARDY–ORLICZ SPACES ON PLANAR DOMAINS
Published online by Cambridge University Press: 29 October 2018
Abstract
In this paper we study composition operators on Hardy–Orlicz spaces on multiply connected domains whose boundaries consist of finitely many disjoint analytic Jordan curves. We obtain a characterization of order-bounded composition operators. We also investigate weak compactness and the Dunford–Pettis property of these operators.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 107 , Issue 2 , October 2019 , pp. 256 - 271
- Copyright
- © 2018 Australian Mathematical Publishing Association Inc.
Footnotes
This research was supported by National Science Centre research grant 2015/19/N/ST1/00845.