3 papers
math.CA2023
Asymptotics of maximum distance minimizers
Enrique G Alvarado, Louisa Catalano, Tomás Merchán +1
We study the limiting behavior of -maximum distance minimizers and the asymptotics of their -dimensional Hausdorff measures as tends to zero in several contexts, includin…
math.CA2021
The Huovinen transform and rectifiability of measures
Benjamin Jaye, Tomás Merchán
For a set of positive and finite length, we prove that if the Huovinen transform (the convolution operator with kernel for an odd number ) associated to …
math.CA2018
Small local action of singular integrals on spaces of non-homogeneous type
Benjamin Jaye, Tomás Merchán
Fix and . In this paper we introduce a notion called small local action associated to a singular integral operator, which is a necessary condition for the exi…