1 citations · 2 across the 20 of their papers we have counts for
21 papers
Multilinear approximate identities generated by hypermetrics on spaces of homogeneous type
Hugo Aimar, Ivana Gómez, Joaquín Toledo
The classical Newtonian potentials, defined in terms of metrics, give rise to the basic family of kernels defining linear integral operators and posing the fundamental problems of…
One-sided Muckenhoupt weights and one-sided weakly porous sets in
Hugo Aimar, Ivana Gómez, Ignacio Gómez Vargas +1
In this work, we introduce the geometric concept of one-sided weakly porous sets in the real line and show that a set satisfies $d(\cdot,E)^{-α}\in A_1^+(\math…
Weakly porous sets and Muckenhoupt weights in spaces of homogeneous type
Hugo Aimar, Ivana Gómez, Ignacio Gómez Vargas
In this work we characterize the sets for which there is some such that the function belongs to the Muckenhoupt class , where $(X,d…
Haar wavelet characterization of dyadic Lipschitz regularity
Hugo Aimar, Carlos Exequiel Arias, Ivana Gómez
We obtain a necessary and sufficient condition on the Haar coefficients of a real function defined on for the Lipschitz regularity of with respect to the…
On the evolution of topological connectivity by thresholding of affinities. An application to public transport
Hugo Aimar, Carlos Exequiel Arias, Ivana Gómez
In this paper we use the neighborhood topology generated by affinities between pairs of points in a set, in orden to explore the underlying dynamics of connectivity by thresholding…
Fisher-Riemann geometry for nonparametric probability densities
Hugo Aimar, Aníbal Chicco Ruiz, Ivana Gómez
In this article we aim to obtain the Fisher Riemann geodesics for nonparametric families of probability densities as a weak limit of the parametric case with increasing number of p…