Person:
Cobos Díaz, Fernando

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First Name
Fernando
Last Name
Cobos Díaz
URI
https://hdl.handle.net/20.500.14352/75635
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
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2020 - 20247
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Author: Fernández-Cabrera Marín, Luz María × Start date: 2020 ×

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Now showing 1 - 7 of 7
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    Measure of non-compactness and limiting interpolation with slowly varying functions
    (Banach Journal of Mathematical Analysis, 2024) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Grover, Manvi
    We give estimates for the measure of non-compactness of an operator interpolated by the limiting methods involving slowly varying functions. As applications we establish estimates for the measure of non-compactness of operators acting between Lorentz–Karamata spaces.
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    On interpolation of weakly compact bilinear operators
    (Mathematische Nachrichten, 2022) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We study the interpolation properties of weakly compact bilinear operators by the real method and also by the complex method. We also study the factorization property of weakly compact bilinear operators through reflexive Banach spaces.
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    On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator
    (Journal of Mathematical Analysis and Applications, 2021) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We complete the range of the parameters in the interpolation formula established by Mastyło and Silva for the measure of non-compactness of a bilinear operator interpolated by the real method.
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    Weakly compact bilinear operators among real interpolation spaces
    (Journal of Mathematical Analysis and Applications, 2022) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María
    We show a necessary and sufficient condition for weak compactness of bilinear operators interpolated by the real method. This characterization does not hold for interpolated operators by the complex method.
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    Duality for logarithmic interpolation spaces and applications to Besov spaces
    (Banach center publications, 2020) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María
    We review several results on duality of logarithmic interpolation spaces and applications to Besov spaces. We also establish some new results on Besov spaces with smoothness close to zero defined by differences.
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    Compactness interpolation results for bilinear operators of convolution type and for operators of product type
    (Journal of Approximation Theory, 2022) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We establish compactness interpolation results for bilinear operators of convolution type and for operators of product type among quasi-Banach spaces. We do not assume any auxiliary condition on the spaces.
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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.