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      Maximal functions and the control of weighted inequalities for the fractional integral operator  [Article]

      Carro Rosell, María Jesús; Pérez Moreno, Carlos; Soria de Diego, Fernando; Soria de Diego, Francisco Javier (Indiana University, 2005)
      We study weak-type (1, 1) weighted inequalities for the fractional integral operator Iα. We show that the fractional maximal operator Mα controls these inequalities when the weight is radially decreasing. However, we exhibit ...