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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 ...
Artículo
Compact bilinear commutators: the weighted case
(University of Michigan, 2015-03)
Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillation are shown to be compact on appropriate products of weighted ...
Artículo
Time-shift invariance determines the functional shape of the current in dissipative rocking ratchets
(2013)
Ratchets are devices that are able to rectify an otherwise oscillatory behavior by exploiting an asymmetry of the system. In rocking ratchets, the asymmetry is induced through a proper choice of external forces and modulations ...
Artículo
The L(log L)e endpoint estimate for maximal singular integral operators
(Elsevier, 2015-08-01)
We prove in this paper the following estimate for the maximal operator T ∗ associated to the singular integral operator T: kT ∗ fkL 1,∞ (w) . 1 ǫ Z Rn | f(x)| ML(log L) ǫ (w)(x) dx, w ≥ 0, 0 < ǫ ≤ 1. This ...
Artículo
The endpoint Fefferman-Stein inequality for the strong maximal function
(Elsevier, 2014-01-01)
Let Mnf denote the strong maximal function of f on Rn, that is the maximal average of f with respect to n-dimensional rectangles with sides parallel to the coordinate axes. For any dimension n > 2 we prove the natural ...
Artículo
Homogenization of Bingham flow in thin porous media
(AIMS, 2019-12-01)
By using dimension reduction and homogenization techniques, we study the steady flow of an incompresible viscoplastic Bingham fluid in a thin porous medium. A main feature of our study is the dependence of the yield stress ...
Artículo
Some generalizations of Kannan's fixed point theorem in K-metric spaces
(Casa Cărţii de Ştiinţă Cluj-Napoca, 2012)
We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. Firstly, we prove a common fixed point result for noncommuting maps. A generalization of Kannan’s ...
Artículo
Splash singularity for water waves
(National Academy of Sciences, 2012-01-17)
We exhibit smooth initial data for the two-dimensional (2D) waterwave equation for which we prove that smoothness of the interface breaks down in finite time. Moreover, we show a stability result together with numerical ...
Artículo
An abstract proximal point algorithm
(Springer, 2018)
The proximal point algorithm is a widely used tool for solving a variety of convex optimization problems such as finding zeros of maximally monotone operators, fixed points of nonexpansive mappings, as well as minimizing ...