CLASSICAL PROPERTIES OF COMPOSITION OPERATORS ON HARDY–ORLICZ SPACES ON PLANAR DOMAINS

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–Petti...

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Bibliographic Details
Published in:Journal of the Australian Mathematical Society (2001) 2019-10, Vol.107 (2), p.256-271
Main Author: RZECZKOWSKI, MICHAŁ
Format: Article
Language:English
Subjects:
Composition
Domains
Operators
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Summary: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.
ISSN:1446-7887
1446-8107
DOI:10.1017/S1446788718000277