Listar Análisis Matemático, Estadística e Investigación Operativa y Matematica Aplicada - (AM) por fecha de publicación
Mostrando ítems 1-20 de 132
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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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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. -
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 ... -
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 ... -
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. -
Weighted inequalities for Cesàro maximal operator in Orlicz spaces.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Cambridge University Press, 2005-04-26)
Let 0 < α ≤ 1 and let M+α be the Cesàro maximal operator of order α defined by In this work we characterize the pairs of measurable, positive and locally integrable functions (u, v) for which there exists a constant C > 0 ... -
Weighted modular inequalities for Hardy-Steklov operators.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Elsevier, 2005-10-26)
We characterize weighted modular inequalities of weak and strong type for the Hardy–Steklov operators T defined by , where g is a positive function and s, h are increasing and continuous functions such that for all x. -
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 ... -
Weighted inequalities for harmonic means.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Ele-Math, 2006)
We characterize the weighted weak and strong type (p, q) inequalities for the harmonic averaging operator Tf(x) = x/∫0x 1/f in the cases 0 < p ≤ q < ∞ and 0 < q < p < ∞. -
Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Elsevier, 2007-03-12)
We characterize the pairs of weights such that the geometric mean operator , defined for positive functions f on by verifies the weak type inequality in the case . Similar results are obtained for the n-dimensional ... -
Hardy operators on weighted amalgams.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Cambridge University Press, 2010-02-04)
We characterize the boundedness of the Hardy operator between weighted amalgams, a problem studied, but not completely solved, by C. Carton-Lebrun, H. P. Heinig and S. C. Hofmann. We also characterize the weighted weak-type ...