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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 ...
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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 ...
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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 ...
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A pointwise estimate for the kernel of a pseudo-differential operator, with applications
(Unión Matemática Argentina, 1991)
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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 ...
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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 ...
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Analytical behavior of two-dimensional incompressible flow in porous media
(AIP Publishing (American Institute of Physics), 2007-06)
In this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy’s law. We obtain local existence and uniqueness by the particle-trajectory ...
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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 ...
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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 ...
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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 ...