Associate spaces of logarithmic interpolation spaces and generalized Lorentz–Zygmund spaces | Zendy

Blanca F. Besoy | Zendy; Fernando Cobos | Zendy; Luz M. Fernández-Cabrera | Zendy

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Associate spaces of logarithmic interpolation spaces and generalized Lorentz–Zygmund spaces

Author(s) -

Blanca F. Besoy,

Fernando Cobos,

Luz M. Fernández-Cabrera

Publication year - 2020

Publication title -

annales academiae scientiarum fennicae mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.865

H-Index - 37

eISSN - 1798-2383

pISSN - 1239-629X

DOI - 10.5186/aasfm.2020.4525

Subject(s) - interpolation space , hardy space , lorentz transformation , interpolation (computer graphics) , birnbaum–orlicz space , mathematics , logarithm , pure mathematics , lp space , mathematical analysis , algebra over a field , functional analysis , computer science , physics , computer graphics (images) , banach space , classical mechanics , biochemistry , chemistry , gene , animation

We determine the associate space of the logarithmic interpolation space (X0, X1)1,q,A where X0 and X1 are Banach function spaces over a σ-finite measure space (Ω, µ). Particularizing the results for the case of the couple (L1, L∞) over a non-atomic measure space, we recover results of Opic and Pick on associate spaces of generalized Lorentz-Zygmund spaces L(∞,q;A). We also establish the corresponding results for sequence spaces.

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