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math.AP2020
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…
math.AP2020
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…