Person:
Fernández Besoy, Blanca

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First Name
Blanca
Last Name
Fernández Besoy
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
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    Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
    (Journal of Mathematical Analysis and Applications, 2018) Cobos Díaz, Fernando; Fernández Besoy, Blanca
    We work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of (A0;A1)θ;q;A when0 < q < 1. As we show, if θ = 0 or 1 then the dual space depends on the relationship between q and A. Furthermore we apply the abstract results to compute the dual space of Besov spaces of logarithmic smoothness and the dual space of spaces of compact operators in a Hilbert space which are closeto the Macaev ideals.