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math.CA2026
Boundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order
Hugo Aimar, Ivana Gómez, Joaquín 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.CA2026
Multilinear approximate identities generated by hypermetrics on spaces of homogeneous type
Hugo Aimar, Ivana Gómez, Joaquín Toledo
The classical Newtonian potentials, defined in terms of metrics, give rise to the basic family of kernels defining linear integral operators and posing the fundamental problems of…