3 papers
math.CA2025
New characterizations of Muckenhoupt distance weights for
Ignacio Gómez Vargas
We characterize the collection of sets for which there exists such that the distance weight $w(x) = \operatorname{dist}(x,…
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 $(…