9 citations · 12 across the 13 of their papers we have counts for
7 papers · 1 filter
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…
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…