Now showing items 1-2 of 2

    • 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) ...
    • Unconditional and quasi-greedy bases in L-p with applications to Jacobi polynomials Fourier series 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L. (European Mathematical Society, 2019)   Artículo / Artikulua  OpenAccess
      We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in L-p does not converge unless p = 2. As a by-product of our work on quasi-greedy bases in L-p(µ), we ...