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Browsing by Author "Soria, Javier"

Browsing by Author "Soria, Javier"

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  • Garcia Domingo, Josep Lluís; Soria, Javier (Elsevier, 2005)
    We introduce a new decreasing rearrangement for functions defined on a homogeneous tree, which enjoys very intuitive and natural properties. The idea is to iterate, with respect to a particular ordering, the usual one ...
  • Arcozzi, Nicola; Barza, Sorina; Garcia Domingo, Josep Lluís; Soria, Javier (Cambridge University Press, 2006)
    We characterize the weighted Hardy inequalities for monotone functions in Rn +. In dimension n = 1, this recovers the standard theory of Bp weights. For n > 1, the result was previously only known for the case p = 1. ...
  • Garcia Domingo, Josep Lluís; Soria, Javier (University of Zagreb, 2004)
    We characterize the existence of a norm in the Lorentz spaces defined on trees, for non-linear decreasing rearrangements, as well as other functional properties (quasinormability, relationship with rearrangement invariant ...
  • Garcia Domingo, Josep Lluís; Soria, Javier (Pan'stwowe Wydawnictwo Naukowe, 1999)
    We characterize geometric properties of a family of approach regions by means of analytic properties of the class of weights related to the boundedness of the maximal operator associated with this family.

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