8 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…