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On Banach envelopes of Hardy-Orlicz spaces on planar domains. (English) Zbl 1419.46022

Summary: We investigate Hardy-Orlicz spaces and weighted Bergman spaces on multiply connected domains and describe Banach envelopes of Hardy-Orlicz spaces generated by Orlicz functions well estimated by power-type functions.

MSC:

46E15 Banach spaces of continuous, differentiable or analytic functions
46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
30H10 Hardy spaces
Full Text: DOI

References:

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