Nevanlinna and Carleson functions of analytic self‐maps on multiply‐connected domains

Michał Rzeczkowski

Mathematische Nachrichten, 2021, vol. 294, issue 1, 118-131

Abstract: In the paper we prove that the Nevanlinna counting function and the Carleson function of analytic self‐maps of finitely connected domains with smooth boundary are equivalent. Using this result we obtain the characterization of compact composition operators on Hardy–Orlicz spaces.

Date: 2021
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https://doi.org/10.1002/mana.201800410

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:294:y:2021:i:1:p:118-131

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