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Listar Artículos (Análisis Matemático) por autor "Rela, Ezequiel"
Mostrando ítems 1-8 de 8
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Artículo
A new quantitative two weight theorem for the Hardy-Littlewood maximal operator
Pérez Moreno, Carlos; Rela, Ezequiel (American Mathematical Society, 2015-02)A quantitative two weight theorem for the Hardy-Littlewood maximal operator is proved improving the known ones. As a ...
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Artículo
Exponential decay estimates for singular integral operators
Ortiz Caraballo, Carmen María; Pérez Moreno, Carlos; Rela, Ezequiel (Springer, 2013-12)The following subexponential estimate for commutators is proved |{x ∈ Q : |[b, T]f(x)| > tM2 f(x)}| ≤ c e− √ α tkbkBMO ...
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Furstenberg sets for a fractal set of directions
Molter, Úrsula María; Rela, Ezequiel (American Mathematical Society, 2012-08)In this paper we study the behavior of the size of Furstenberg sets with respect to the size of the set of directions ...
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Improving dimension estimates for Furstenberg-type sets
Molter, Úrsula María; Rela, Ezequiel (Elsevier, 2010-01-30)In this paper we study the problem of estimating the generalized Hausdorff dimension of Furstenberg sets in the plane. For ...
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Artículo
Optimal exponents in weighted estimates without examples
Luque Martínez, Teresa; Pérez Moreno, Carlos; Rela, Ezequiel (International Press, 2015)t. We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an ...
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Artículo
Reverse Hölder property for strong weights and general measures
Luque Martínez, Teresa; Pérez Moreno, Carlos; Rela, Ezequiel (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 ...
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Artículo
Sharp reverse Hölder property for A∞ weights on spaces of homogeneous type
Hytönen, Tuomas; Pérez Moreno, Carlos; Rela, Ezequiel (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: ...
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Small Furstenberg sets
Molter, Úrsula María; Rela, Ezequiel (Elsevier, 2013-04-15)For α in (0, 1], a subset E of R2 is called Furstenberg set of type α or Fα-set if for each direction e in the unit circle ...