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Artículo
Reverse Hölder property for strong weights and general measures
(Springer, 2016-02-22)
We present dimension-free reverse H¨older inequalities for strong A∗p weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A∗1 weights. The common ingredient is a multidimensional version ...
Artículo
Lack of natural weighted estimates for some singular integral operators
(American Mathematical Society, 2005)
Artículo
Optimal exponents in weighted estimates without examples
(International Press, 2015)
t. We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an operator T satisfies a bound like kT kLp(w) ≤ c [w] β Ap w ∈ Ap, then the optimal lower bound ...
Artículo
Extrapolation from A∞ weights and applications
(Elsevier, 2004-08-15)
We generalize the Ap extrapolation theorem of Rubio de Francia to A∞ weights in the context of Muckenhoupt bases. Our result has several important features. First, it can be used to prove weak endpoint inequalities starting ...
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
A new characterization of the Muckenhoupt Ap weights through an extension of the Lorentz-Shimogaki theorem
(Indiana University, 2007)
Given any quasi-Banach function space X over Rn it is defined an index αX that coincides with the upper Boyd index αX when the space X is rearrangement-invariant. This new index is defined by means of the local maximal ...
Artículo
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
(American Mathematical Society, 2015-02)
A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a consequence a new proof of the main results in [HP] and in [HPR12] is obtained which avoids the use of ...
Artículo
Generalized Hörmander conditions and weighted endpoint estimates
(Polish Academy of Sciences, Institute of Mathematics, 2009)
We consider two-weight estimates for singular integral operators and their commutators with bounded mean oscillation functions. Hörmander type conditions in the scale of Orlicz spaces are assumed on the kernels. We prove ...