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Capítulo de Libro
On the sign of the real part of the Riemann zeta-function
(Springer, 2013)
We consider the distribution of argζ(σ +it) on fixed lines σ > 1/2, and in particular the density d(σ) = lim T→+∞ 1/2T |{t ∈ [−T,+T] : |argζ(σ +it)| > π/2}|, and the closely related density d−(σ) = lim T→+∞ 1/2T |{t ∈ ...
Artículo
Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer
(Uniwersytetu i Politechniki, 2016)
In this paper we study mixed weighted weak-type inequalities for families of functions, which can be applied to study classic operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, ...
Artículo
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
(American Mathematical Society, 2014-01-09)
Minimal regularity conditions on the kernels of bilinear operators are identi- fied and shown to be sufficient for the existence of end-point estimates within the context of the bilinear Calderón-Zygmund theory.
Artículo
Iterative methods for approximating fixed points of Bregman nonexpansive operators
(American Institute of Mathematical Sciences, 2013-08)
Diverse notions of nonexpansive type operators have been extended to the more general framework of Bregman distances in reflexive Banach spaces. We study these classes of operators, mainly with respect to the existence ...
Artículo
Some recent results on the Muskat problem
(Cellule MathDoc, 2010)
We consider the dynamics of an interface given by two incompressible fluids with different characteristics evolving by Darcy’s law. This scenario is known as the Muskat problem, being in 2D mathematically analogous to the ...
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
Practical stability of stochastic delay evolution equations
(Springer, 2015-04-23)
In this paper we investigate the almost sure practical stability for a class of stochastic functional evolution equations. We establish some sufficient conditions based on the construction of appropriate Lyapunov functional. ...
Tesis Doctoral
Métricas equivalentes y existencia de puntos fijos para aplicaciones de tipo no-expansivo
(2015-06-22)
La Teoría Métrica de Punto Fijo estudia la existencia de tales puntos bajo condiciones que dependen de la métrica considerada y que no son invariantes si cambiamos la métrica por otra equivalente. Esta teoría tiene sus ...
Artículo
Thin sets of integers in Harmonic analysis and p-stable random Fourier series
(Springer, 2011-06)
We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces Gaussian or Rademacher variables by p-stable ones, with 1 < p < 2. We show that in one case this ...
Artículo
Quantitative weighted mixed weak-type inequalities for classical operators
(Indiana University, 2016)
We improve on several mixed weak-type inequalities both for the Hardy-Littlewood maximal function and for Calderón-Zygmund operators. These types of inequalities were considered by Muckenhoupt and Wheeden and later on by ...