• Asymptotic greediness of the Haar system in the spaces Lp[0 , 1] , 1< p< ∞ 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Berná, Pablo M. (Springer, 2019)   Artículo / Artikulua  OpenAccess
      Our aim in this paper is to attain a sharp asymptotic estimate for the greedy constant Cg[H(p), Lp] of the (normalized) Haar system H(p) in Lp[0 , 1] for 1 < p < ∞. We will show that the super-democracy constant of H(p) ...
    • Democracy of quasi-greedy bases in p-Banach spaces with applications to the efficiency of the thresholding greedy algorithm in the hardy spaces Hp(Dd) 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Bello, Glenier (Cambridge University Press, 2023)   Artículo / Artikulua  OpenAccess
      We use new methods, specific for non-locally convex quasi-Banach spaces, to investigate when the quasi-greedy bases of a -Banach space for 0 < p < p are democratic. The novel techniques we obtain permit to show in particular ...
    • Greedy approximation for biorthogonal systems in quasi-Banach spaces 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Berná, Pablo M.; Wojtaszczyk, Przemyslaw (Instytut Matematyczny, 2021)   Artículo / Artikulua  OpenAccess
      The general problem addressed in this work is the development of a systematic study of the thresholding greedy algorithm for general biorthogonal systems in quasi-Banach spaces from a functional-analytic point of view. If ...
    • Quasi-greedy bases in ℓp (0 < p < 1) are democratic 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Elsevier, 2020)   Artículo / Artikulua  OpenAccess
      The list of known Banach spaces whose linear geometry determines the (nonlinear) democracy functions of their quasi-greedy bases to the extent that they end up being democratic, reduces to c0, ℓ2, and all separable L1-spaces. ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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