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

      Boza Rocho, Santiago; Soria de Diego, Javier (Elsevier, 2019-01-01)
      Article
      Accés obert
      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 ...
    • Isometries on L-2(X) and monotone functions 

      Boza Rocho, Santiago; Soria, Javier (2014-02-01)
      Article
      Accés restringit per política de l'editorial
      We study necessary and sufficient conditions on a bounded operator T defined on the Hilbert space L-2(X) to be an isometry and show that, under suitable hypotheses, it suffices to restrict T to a smaller class of functions ...
    • Norm estimates for the hardy operator in terms of B-p weights 

      Boza Rocho, Santiago; Soria de Diego, Javier (2017-06-01)
      Article
      Accés obert
      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).