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Interpolation of Hardy spaces on circular domains
Author(s) -
Mleczko Paweł,
Szwedek Radosław
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600199
Subject(s) - mathematics , hardy space , interpolation (computer graphics) , interpolation space , extension (predicate logic) , pure mathematics , mathematical analysis , functional analysis , computer science , image (mathematics) , biochemistry , chemistry , artificial intelligence , gene , programming language
In the paper, abstract interpolation of Hardy spaces on circular domains is studied. In particular, an extension of Peter Jones's result on the interpolation of Hardy spaces on the disc to multiply‐connected domains is presented. Moreover, some applications in approximation theory are given.