Person:
Fernández-Cabrera Marín, Luz María

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First Name
Luz María
Last Name
Fernández-Cabrera Marín
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Estudios estadísticos
Department
Análisis Matemático Matemática Aplicada
Area
Matemática Aplicada
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    Associate spaces of logarithmic interpolation spaces and generalized Lorentz-Zygmund spaces
    (Annales Academiae Scientiarum Fennicae Mathematica, 2020) Besoy, Blanca F.; Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María
    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 ?-finite measure space (?, 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.