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math.FA2018
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…
math.FA2018
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…