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Artículo
The Hardy-Littlewood maximal type operators between Banach function spaces
(Indiana University, 2012)
We investigate variants of the maximal operator and show their applications to study boundedness of the classical Hardy-Littlewood maximal operator between weighted Banach function spaces which satisfy certain geometrical ...
Artículo
Sharp weighted estimates for classical operators
(Elsevier, 2012-01-15)
We prove sharp one and two-weight norm inequalities for some of the classical operators of harmonic analysis: the Hilbert and Riesz transforms, the Beurling-Ahlfors operator, the maximal singular integrals associated to ...
Artículo
Sharp reverse Hölder property for A∞ weights on spaces of homogeneous type
(Elsevier, 2012-12-15)
In this article we present a new proof of a sharp Reverse Hölder Inequality for A∞ weights. Then we derive two applications: a precise open property of Muckenhoupt classes and, as a consequence of this last result, we ...
Artículo
Sharp bounds for general commutators on weighted Lebesgue spaces
(American Mathematical Society, 2012)
We show that if a linear operator T is bounded on weighted Lebesgue space L2(w) and obeys a linear bound with respect to the A2 constant of the weight, then its commutator [b, T ] with a function b in BMO will obey a ...