Small Bergman-Orlicz and Hardy-Orlicz spaces, and their composition operators

We show that the weighted Bergman-Orlicz space A α ψ coincides with some weighted Banach space of holomorphic functions if and only if the Orlicz function ψ satisfies the so-called Δ 2 -condition. In addition we prove that this condition characterizes those A α ψ on which every composition operator...

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Bibliographic Details
Published in:	Mathematische Zeitschrift Vol. 293; no. 3-4; pp. 1287 - 1314
Main Author:	Charpentier, S.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2019 Springer Nature B.V
Subjects:	Analytic functions Banach spaces Composition Mathematics Mathematics and Statistics Operators (mathematics) Orlicz space 46E15 32C22 Bergman-Orlicz space Secondary 30H05 Composition operator Several complex variables Weighted Banach space of holomorphic functions Primary 47B33 Hardy-Orlicz space
ISSN:	0025-5874, 1432-1823
Online Access:	Get full text
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