4 papers · 1 filter
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…
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…