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math.CA2022
Two weight L^{p} inequalities for fractional vector Riesz transforms and doubling measures
Eric T. Sawyer, Brett D. Wick
If T is a fractional vector Riesz transform, 1<p<infinity, and sigma and omega are doubling measures, then the two weight L^{p} norm inequality holds if and only if the quadratic t…
math.CA2022
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…
math.CA2022
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…