Person:
Fernández Besoy, Blanca

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First Name
Blanca
Last Name
Fernández Besoy
URI
https://hdl.handle.net/20.500.14352/87004
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
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2018 - 20193
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End date: 2019 ×

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Now showing 1 - 3 of 3
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    Logarithmic interpolation methods and measure of non-compactness
    (Quarterly Journal of Mathematics, 2019) Cobos Díaz, Fernando; Fernández Besoy, Blanca
    We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with θ = 0, 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.
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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.
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    Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces
    (Journal of Approximation Theory, 2019) Fernández Besoy, Blanca; Cobos Díaz, Fernando
    Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function parameter.