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Publications

Papers

2025

  • Fernando Cobos, Luz M. Fernández-Cabrera, and Thomas Kühn, Interpolation of compact multilinear operators between quasi-Banach spaces. Journal of Approximation Theory (to appear). [Preprint]
  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez, 

    Convexity estimates for the outer measure 

    of bilinear operators. Z. Anal. Anwend. (Online first) DOI 10.4171/ZAA/1790 . [Preprint] 

  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez. 

    Interpolation of Closed Ideals of Bilinear Operators, Acta Math. Sinica (English Ser.)  41 (2025) 209-230. Published online: January 1, 2025. 

    https://doi.org/10.1007/s10114-025-3506-x . [Preprint]

 

2024

  • Fernando Cobos and Luz M. Fernández-Cabrera. Weakly compact bilinear operators among real interpolation spaces

    , J. Math. Anal. Appl. 529 (2024) 126837. https://doi.org/10.1016/j.jmaa.2022.126837

  • Fernando Cobos, Luz M. Fernández-Cabrera, and Manvi Grover. Measure of non-compactness and limiting interpolation with slowly varying functions

    , Banach J. Math. Anal.  (2024) 18:25. https://doi.org/10.1007/s43037-024-00335-z

 

2023

 

2022

  • Blanca F. Besoy and Fernando Cobos. Function spaces of Lorentz-Sobolev type: Atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications. J. Funct. Anal. 282 (2022) 109452. https://doi.org/10.1016/j.jfa.2022.109452
  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez. Compactness interpolation results for bilinear operators of convolution type and for operators of product type. J. Approx. Theory 274 (2022) 105688. https://doi.org/10.1016/j.jat.2021.105688

  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez. On interpolation of weakly compact bilinear operators

    , Math. Nachr. 295 (2022) 1279-1291. https://doi.org/10.1002/mana.202100084

 

2021

  • Blanca F. Besoy, Fernando Cobos, and Hans Triebel. On function spaces of Lorentz-Sobolev type. Math. Ann. 381 (2021) 807-839.   https://doi.org/10.1007/s00208-021-02168-9.
  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez. A compactness result of Janson type for bilinear operators. J. Math. Anal. Appl. 495 (2021) 124760. https://doi.org/10.1016/j.jmaa.2020.124760
  • Blanca F. Besoy and Fernando Cobos. The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case.  Z. Anal. Anwend. 40 (2021) 1-32. DOI: 10.4171/ZAA/1670
  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez. On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator. J. Math. Anal. Appl. 504 (2021) 125376. https://doi.org/10.1016/j.jmaa.2021.125376

 

2020

  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez. On compactness results of Lions-Peetre type for bilinear operators. Nonlinear Anal. 199 (2020) 111951. https://doi.org/10.1016/j.na.2020.111951
  • Fernando Cobos, David E. Edmunds, and Thomas Kühn. Nuclear embeddings of Besov spaces into Zygmund spaces. J. Fourier Anal. Appl. 26 (2020) 1 Paper No. 9. https://doi.org/10.1007/s00041-019-09709-6
  • Blanca F. Besoy, Fernando Cobos, and Luz M. Fernández-Cabrera. On the structure of a limit class of logarithmic interpolation spaces. Mediterr. J. Math. (2020) 17:168. https://doi.org/10.1007/s00009-020-01602-7
  • Blanca F. Besoy and Fernando Cobos. Logarithmic interpolation methods and measure of non-compactness. Quart. J. Math. 71 (2020) 73-95    https://doi.org/10.1093/qmathj/haz041
  • Blanca F. Besoy, Fernando Cobos, and Luz M. Fernández-Cabrera. Associate spaces of logarithmic interpolation spaces and generalized Lorentz-Zygmund spaces. Ann. Acad. Sci. Fenn. Math. 45 (2020) 493-510.  https://doi.org/10.5186/aasfm.2020.4525

 

2019

  • Fernando Cobos, Thomas Kühn, and Winfried Sickel. On optimal approximation in periodic Besov spaces. J. Math. Anal. Appl. 474 (2019) 1441-1462.  https://doi.org/10.1016/j.jmaa.2019.02.027
  • Blanca F. Besoy and Fernando Cobos. Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces. J. Approx. Theory 243 (2019) 25-44. https://doi.org/10.1016/j.jat.2019.03.004
  • Fernando Cobos and Luz M. Fernández-Cabrera. Duality for logarithmic interpolation spaces and applications to Besov spaces. Banach Center Publ. 119 (2019) 109-122. DOI: 10.4064/bc119-5

 

Some other previous publications

  • Luz M. Fernández-Cabrera and Antón Martínez, Real interpolation of compact bilinear operators. J. Fourier Anal. Appl. 24 (2018) 1181-1203. https://doi.org/10.1007/s00041-017-9561-7
  • Fernando Cobos, Luz M. Fernández-Cabrera, and Antón Martínez, Interpolation of compact bilinear operators among quasi-Banach spaces and applications, Math.Nachr. 291 (2018) 2168-2187. DOI: 10.1002/mana.201700487
  • Fernando Cobos, Óscar Domínguez, and Thomas Kühn. Approximation and entropy numbers of embeddings between approximation spaces. Constr. Approx. 47 (2018) 453-486. DOI 10.1007/s00365-017-9383-5
  • Luz M. Fernández-Cabrera and Antón Martínez, On interpolation properties of compact bilinear operators. Math. Nachr. 290 (2017) 1663-1677. DOI 10.1002/mana.201600203.

  • Luz M. Fernández-Cabrera. The fundamental function of spaces generated by interpolation methods associated to polygons. Mediterr. J. Math. (2017) 14:17. DOI 10.1007/s00009-016-0808-3

  • Fernando Cobos, Óscar Domínguez, and Hans Triebel. Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups. J. Funct. Anal. 270 (2016) 4386-4425. http://dx.doi.org/10.1016/j.jfa.2016.03.007

  • Fernando Cobos, Luz M. Fernández-Cabrera, Thomas Kühn, and Tino Ullrich. On an extreme class of real interpolation spaces. J. Funct. Anal. 256 (2009) 2321-2366. doi: 10.1016/j.jfa.2008.12.013

  • Luz M. Fernández-Cabrera. Inclusion indices of function spaces and applications. Math. Proc. Camb. Phil. Soc. 136 (2004) 665-674.  https://doi.org/10.1017/S0305004103007503

  • Fernando Cobos, Luz M. Fernández-Cabrera, Antonio Manzano, and Antón Martínez. Real interpolation and closed operator ideals. J. Math. Pures Appl. 83 (2004) 417-432. doi: 10.1016/j.matpur.2004.01.002

  • Fernando Cobos, Thomas Kühn, and Jaak Peetre. Schatten-von Neumann classes of multilinear forms. Duke Math. J. 65 (1992) 121-156.   

    https://projecteuclid.org/search?term=Schatten-von+Neumann+classes+of+multilinear+forms.+

  • Fernando Cobos, Thomas Kühn, and Tomás Schonbek, One-sided compactness results for Aronszajn-Gagliardo functors. J. Funct. Anal. 106 (1992) 274-313.

  • Fernando Cobos and Jaak Peetre. Interpolation of compact operators: The multidimensional case. Proc. London Math. Soc. 63 (1991) 371-400. https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/plms/s3-63.2.371

  • Fernando Cobos and Jaak Peetre, Interpolation of compactness using Aronszajn-Gagliardo functors. Israel J. Math. 68 (1989) 220-240.

  • Fernando Cobos and Thomas Kühn. On a conjecture of Barry Simon on trace ideals. Duke Math. J. 59 (1989) 295-299. https://projecteuclid.org/search?term=On+a+conjecture+of+Barry+Simon+on+trace+ideals.+

  • Fernando Cobos and Dicesar L. Fernandez. Hardy-Sobolev spaces and Besov spaces with a function parameter. In: Function Spaces and Applications. Springer Lect. Notes in Math. 1302 (1988) pp. 158-170.