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Complex interpolation of Orlicz spaces with respect to a vector measure
Author(s) -
Campo R.,
Fernández A.,
Manzano A.,
Mayoral F.,
Naranjo F.
Publication year - 2014
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.201200289
Subject(s) - mathematics , measure (data warehouse) , integrable system , interpolation space , interpolation (computer graphics) , pure mathematics , banach space , birnbaum–orlicz space , function space , space (punctuation) , lp space , locally integrable function , mathematical analysis , functional analysis , image (mathematics) , biochemistry , chemistry , linguistics , philosophy , database , artificial intelligence , computer science , gene
We apply the Calderón interpolation methods to Orlicz and weakly Orlicz function spaces with respect to a Banach‐space‐valued measure defined on a σ‐algebra. The results we obtain generalize those in the case of Banach lattices of p ‐integrable and weakly p ‐integrable functions with respect to such a vector measure.