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math.CA2026
Multilinear approximate identities generated by hypermetrics on spaces of homogeneous type
Hugo Aimar, Ivana Gómez, JoaquÃn 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…
math.CA2024
One-sided Muckenhoupt weights and one-sided weakly porous sets in
Hugo Aimar, Ivana Gómez, Ignacio Gómez Vargas +1
In this work, we introduce the geometric concept of one-sided weakly porous sets in the real line and show that a set satisfies $d(\cdot,E)^{-α}\in A_1^+(\mat…
math.CA2024
Weakly porous sets and Muckenhoupt weights in spaces of homogeneous type
Hugo Aimar, Ivana Gómez, Ignacio Gómez Vargas
In this work we characterize the sets for which there is some such that the function belongs to the Muckenhoupt class , where $(…