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

Part of: Linear function spaces and their duals

Published online by Cambridge University Press:  29 October 2018

MICHAŁ RZECZKOWSKI
MICHAŁ RZECZKOWSKI*
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, 61-614 Poznan, Poland email [email protected]
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Abstract

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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.

Keywords

Hardy–Orlicz spacescomposition operatorsHardy spaces on planar domains

MSC classification

Primary: 46E15: Banach spaces of continuous, differentiable or analytic functions
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.

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