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Two-weight, weak-type norm inequalities for singular integral operators
(International Press, 1999)
We give a sufficient condition for singular integral operators and, more generally, Calder´on-Zygmund operators to satisfy the weak (p, p) inequality u({x ∈ R n : |T f(x)| > t}) ≤ C / tp Z Rn |f|p v dx, 1 < p < ∞. Our ...
Tesis Doctoral
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Conmutadores de integrales singulares y pesos A1
(2011)
Esta memoria está estructurada de la siguiente manera: comenzaremos introduciendo en el capítulo 1 las herramientas y definiciones necesarias para entender el desarrollo de las pruebas que se presentan. En el capítulo 2 ...
Artículo
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Existence and nonexistence of hypercyclic semigroups
(American Mathematical Society, 2007-03)
In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– ...
Artículo
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Two weighted inequalities for potential and fractional type maximal operators
(Indiana University, 1994)
Artículo
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A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game
(MSP, 2021-01-26)
We analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. More precisely, we focus on a uniform betweenness property and use it in the study of a discrete ...
Tesis Doctoral
Artículo
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Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
(Elsevier, 1998-03-09)
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ∗pn∗, we find the analytical expressions of the expansion coefficients of any polynomial rm(x) and ...