Now showing items 1-5 of 5

    • Averaging operators on decreasing or positive functions: equivalence and optimal bounds 

      Boza Rocho, Santiago; Soria de Diego, Javier (Elsevier, 2019-01-01)
      Article
      Restricted access - publisher's policy
      We study the optimal bounds for the Hardy operator S minus the identity, as well as S and its dualoperator S*, on the full range 1 = p = 8, for the cases of decreasing, positive or general functions (infact, these two kinds ...
    • Estimaciones de promedios en análisis 

      Boza Rocho, Santiago; Soria de Diego, Javier (Real Sociedad Matemática Española, 2015)
      Article
      Restricted access - publisher's policy
      Existen en Análisis una serie de resultados clásicos en los que el cálculo de promedios juega un papel relevante, como los métodos generalizados de convergencia, el teorema Fundamental del Cálculo o el tratamiento digital ...
    • Norm estimates for the hardy operator in terms of B-p weights 

      Boza Rocho, Santiago; Soria de Diego, Javier (2017-06-01)
      Article
      Open Access
      We study the explicit dependence of the Bp-constant of the weight, [w]Bp , in the estimates of the norm of the Hardy operator acting on non-increasing functions in L p (w) or L p,8(w).
    • Positive isometric averaging operators on l2(Z,µ) 

      Boza Rocho, Santiago; Soria de Diego, Javier (2016-03-05)
      Article
      Open Access
      © 2016 Springer International Publishing We show that positive isometric averaging operators on the sequence space (Formula presented.) are determined by very subtle arithmetic conditions on (Formula presented.) (even for ...
    • Weak-type boundedness of the Fourier transform on rearrangement invariant function spacest 

      Boza Rocho, Santiago; Soria de Diego, Javier (2018-06-08)
      Article
      Open Access
      We study several questions about the weak-type boundedness of the Fourier transform F on rearrangement invariant spaces. In particular, we characterize the action of F as a bounded operator from the minimal Lorentz space ...