Ruiz Bermejo, César

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First Name
Last Name
Ruiz Bermejo
Universidad Complutense de Madrid
Faculty / Institute
Análisis Matemático Matemática Aplicada
Análisis Matemático
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Now showing 1 - 2 of 2
  • Publication
    Weak compactness in variable exponent spaces
    (Elsevier, 2021) Hernández, Francisco L.; Ruiz Bermejo, César; Sanchiz, Mauro
    This paper shows necessary and sufficient conditions on subsets of variable exponent spaces Lp(·)(Ω) in order to be weakly compact. Useful criteria are given extending Andô results for Orlicz spaces. As application, we prove that all separable variable exponent spaces are weakly Banach-Saks. Also, L-weakly compact and weakly compact inclusions between variable exponent spaces are studied.
  • Publication
    Weak compactness and representation in variable exponent Lebesgue spaces on infinite measure spaces
    (Springer Nature, 2022-07-16) Hernández, Francisco L.; Ruiz Bermejo, César; Sanchiz Alonso, Mauro
    Relative weakly compact sets and weak convergence in variable exponent Lebesgue spaces L p(·) () for infinite measure spaces (, μ) are characterized. Criteria recently obtained in [14] for finite measures are here extended to the infinite measure case. In particular, it is showed that the inclusions between variable exponent Lebesgue spaces for infinite measures are never L-weakly compact. A lattice isometric representation of L p(·) () as a variable exponent space Lq(·) (0, 1) is given.