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math.CA2022
The Steklov problem and Remainder Estimates for Krein Systems generated by a Muckenhoupt weight
Michel Alexis
We show that solutions to Krein systems, the continuous frequency analogue of orthogonal polynomials on the unit circle, generated by an weight satisfying $w…
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…