9 citations · 12 across the 13 of their papers we have counts for
14 papers
Approximating the identity of convolution with random mean and random variance
Hugo Aimar, Ivana Gómez
We provide sufficient conditions on the profile , on the sequence of random variables and on the sequence of random vectors such that $\ma…
Boundedness and concentration of random singular integrals defined by wavelet summability kernels
Hugo Aimar, Ivana Gómez
We use Cramér-Chernoff type estimates in order to study the Calderón-Zygmund structure of the kernels where are subgaussian indepen…
On generalized divergence and Laplace operators as a matter of division of distributions
Hugo Aimar, Ivana Gómez
Starting from the approach to the Laplacian with respect to coupling measures and undirected weighted graphs, we provide a setting for a general point of view for a Kirchhoff type…
On Frink's type metrization of weighted graphs
María Florencia Acosta, Hugo Aimar, Ivana Gómez
Using the technique of the metrization theorem of uniformities with countable bases, in this note we provide, test and compare an explicit algorithm to produce a metric be…
Partial derivatives, singular integrals and Sobolev Spaces in dyadic settings
Hugo Aimar, Juan Comesatti, Ivana Gómez +1
In this note we show that the general theory of vector valued singular integral operators of Calderón-Zygmund defined on general metric measure spaces, can be applied to obtain Sob…
Kirchhoff divergence and diffusions associated to transport probability measures
Hugo Aimar, Ivana Gómez
Taking as starting point the approach to the divergence operator on weighted graphs, we give a notion of divergence associated to transport coupling and coupled measures on locally…
Function spaces of coercivity for the fractional Laplacian in spaces of homogeneous type
Hugo Aimar, Ivana Gómez
We combine dyadic analysis through Haar type wavelets defined on Christ's families of generalized cubes, and Lax-Milgram theorem, in order to prove existence of Green's functions f…
Fractional uncertainty
Hugo Aimar, Pablo Bolcatto, Ivana Gómez
We use techniques of dyadic analysis in order to prove that, for every , there exists a positive constant such that the inequality $$\left(\iint_{\mathbb{R…
Uniform spaces and the Newtonian structure of (big)data affinity kernels
Hugo Aimar, Ivana Gómez
Let be a (data) set. Let be a measure of the affinity between the data points and . We prove that has the structure of a Newtonian potential $K(x,y)=φ(d(x…
Harnack's Inequality and A Priori Estimates for Fractional Powers of Non-symmetric Differential Operators
Hugo Aimar, Gastón Beltritti, Ivana Gómez +1
We obtain a new general extension theorem in Banach spaces for operators which are not required to be symmetric, and apply it to obtain Harnack estimates and a priori regularity fo…
Nonlocal Schrödinger equations in metric measure spaces
Marcelo Actis, Hugo Aimar, Bruno Bongioanni +1
In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schrödinger equations on spaces of homogeneous type. We prove the a…
Mean value formulas for solutions of some degenerate elliptic equations and applications
Hugo Aimar, Gastón Beltritti, Ivana Gómez
We prove a mean value formula for weak solutions of $div(|y|^{a}\grad u)=0$ in , and balls centered at poin…
A note on Besov regularity for parabolic initial boundary value problems
Hugo Aimar, Ivana Gómez
In this note we consider the initial boundary value problem for the heat equation on cylinders based on Lipschitz domains with Besov data. We obtain a regularity exponent for the s…
On dyadic nonlocal Schrödinger equations with Besov initial data
Hugo Aimar, Bruno Bongioanni, Ivana Gómez
In this paper we consider the pointwise convergence to the initial data for the Schrödinger-Dirac equation with in a dyadic Beso…