Complex interpolation of Orlicz spaces with respect to a vector measure | Zendy

Campo R. | Zendy; Fernández A. | Zendy; Manzano A. | Zendy; Mayoral F. | Zendy; Naranjo F. | Zendy

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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.

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