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math.CA2026
Boundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order
Hugo Aimar, Ivana Gómez, JoaquÃn Toledo
We introduce a natural bilinear fractional integral type operator induced by a third order hypermetric on Ahlfors regular quasi-metric spaces. Given a quasi-metric space th…
math.CA2025
A measure theoretic approach to Lipschitz regularity and its Haar type wavelet analysis
Hugo Aimar, Juliana Boasso
In this note, we extend the characterization of dyadic Lipschitz regularity of functions to non-atomic probability spaces, using generalized Haar systems.