Listar por autor "Bernardis-Medici, Ana Lucía"
Mostrando ítems 1-19 de 19
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A new proof of the characterization of the weighted Hardy inequality
Bernardis-Medici, Ana Lucía
; Martín-Reyes, Francisco Javier; Ortega-Salvador, Pedro (Cambridge University Press, 2005)
Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) into Lq(w) in the case 0 < q < p, 1 < p < ∞. We present here a new simple proof of the sufficiency part of that result. -
Convergence in the Cesàro sense of ergodic operators associated with a flow.
We study the a.e. convergence ofthe Ceshro-(1 +c) ergodic averages and the a.e. existence in the Ceso-u sense ofthe ergodic Hilbert transform associated with a Cesobounded flow and < c < 0. -
Multiresolution approximations and wavelet bases of weighted Lp spaces
Aimar, Hugo; Bernardis-Medici, Ana Lucía; Martín-Reyes, Francisco Javier (Springer, Birkhäuser Verlag, 2003)
We study boundedness and convergence on L p(R n,dμ) of the projection operators P j given by MRA structures with non-necessarily compactly supported scaling function. As a consequence, we prove that if w is a locally ... -
Singular integrals in the Cesàro sense
Bernardis-Medici, Ana Lucía; Martín-Reyes, Francisco Javier (Springer, Birkhäuser Verlag, 2000)
The existence of the singular integral ∫K(x, y)f(y)dy associated to a Calderón-Zygmund kernel where the integral is understood in the principal value sense TF(x)=limε→0+∫|x−y|>εK(x, y)f(y)dy has been well studied. In this ... -
Two-weight norm inequalities for the fractional maximal operator on spaces of homogeneous type
Bernardis-Medici, Ana Lucía; Salinas, Oscar (Institute of Mathematics, Polish Academy of Sciences, 1994)
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Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type.
Bernardis-Medici, Ana Lucía; Hartzstein, Silvia; Pradolini, Gladis (Elsevier, 2006)
Let 0 <γ< 1, b be a BMO function and Im γ,b the commutator of order m for the fractional integral. We prove two type of weighted Lp inequalities for Im γ,b in the context of the spaces of homogeneous type. The first one ...