3 papers
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…
stat.ML2025
Divergence Phase Index: A Riesz-Transform Framework for Multidimensional Phase Difference Analysis
Magaly Catanzariti, Hugo Aimar, Diego M. Mateos
We introduce the Divergence Phase Index (DPI), a novel framework for quantifying phase differences in one and multidimensional signals, grounded in harmonic analysis via the Riesz…
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.