76 citations · 313 across the 38 of their papers we have counts for
42 papers
One-sided median porous sets and one-sided Muckenhoupt distance functions
Alptekin Can Goksan, Ignacio Uriarte-Tuero
We introduce the notion of one-sided median porosity for subsets of . We prove that this condition is necessary and sufficient for the distance weight to…
Medians, Oscillations, and Distance Functions
Marcus Pasquariello, Ignacio Uriarte-Tuero
Vasin (for ) and Anderson, Lehrbäck, Mudarra, and Vähäkangas (arXiv:2209.06284) (for ) provided a geometric characterization of the sets so that…
The scalar theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Michel Alexis, José Luis Luna-Garcia, Eric Sawyer +1
We show that for an individual Riesz transform in the setting of doubling measures, the scalar theorem fails when : for each , we…
The T1 theorem for the Hilbert transform fails when p is not 2
Michel Alexis, Jose Luis Luna-Garcia, Eric T. Sawyer +1
Given p between 1 and infinity, but not 2, we show that the T1 theorem for the Hilbert transform fails for L^{p}, despite holding for p equal to 2
Stability of Weighted Norm Inequalities
Michel Alexis, José Luis Luna Garcia, Eric Sawyer +1
We show that while individual Riesz transforms are two weight norm stable under biLipschitz change of variables on weights, they are two weight norm unstable under eve…
Tops of dyadic grids
Michel Alexis, Eric Sawyer, Ignacio Uriarte-Tuero
We extend the notion of a dyadic grid of cubes in Euclidean space to include infinite dyadic cubes. These `tops' of a dyadic grid form a tiling of Euclidean space which is subject…