Person:
Fernández-Cabrera Marín, Luz María

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First Name
Luz María
Last Name
Fernández-Cabrera Marín
URI
https://hdl.handle.net/20.500.14352/77451
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Estudios estadísticos
Department
Análisis Matemático Matemática Aplicada
Area
Matemática Aplicada
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2010 - 20183
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End date: 2019 × Start date: 2010 ×

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Now showing 1 - 3 of 3
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    Abstract limit J-spaces
    (Journal of the London Mathematical Society, 2010) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Mastylo, Mieczyslaw
    We investigate the limit J-spaces corresponding to the general real method. These interpolation spaces are defined by Banach sequence lattices and include those spaces that arise by the choice θ = 0 in the definition of the real method. We pay especial attention to spaces generated by rearrangement-invariant sequence spaces. We establish necessary and sufficient conditions for compactness of interpolated operators between limit J-spaces. We also study the relationships between J- and K-spaces and we derive some interpolation formulae for notable couples of function spaces, couples of spaces of operators and also couples of sequence spaces.
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    Interpolation of compact bilinear operators among quasi-Banach spaces and applications
    (Mathematische Nachrichten, 2018) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Martínez, Antón
    We study the interpolation properties of compact bilinear operators by the general real method among quasi- Banach couples. As an application we show that commutators of Calderón-Zygmund bilinear operators S : Lp × Lq -? Lr are compact provided that 1/2 < r < 1, 1 < p, q < 8 and 1/p + 1/q = 1/r.
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    Limiting J-spaces for general couples
    (Zeitschrift Fur Analysis Und Ihre Anwendungen, 2013) Cobos Díaz, Fernando; Fernández-Cabrera Marín, Luz María; Silvestre, Pilar
    We investigate limiting J-interpolation methods for general Banach couples, not necessarily ordered. We also show their relationship with the interpolation methods defined by the unit square.