Michel Alexis

collaborators

2 papers

math.CA2025

The scalar $T 1$ theorem for pairs of doubling measures fails for Riesz transforms when p not 2

Michel Alexis, JosÃ© Luis Luna-Garcia, Eric Sawyer +1

We show that for an individual Riesz transform in the setting of doubling measures, the scalar $T 1$ theorem fails when $p \neq = 2$ : for each $p \in (1, \infty) ∖ {2}$ , we…

math.FA2024

Haar basis testing

Michel Alexis, Jose Luis Luna-Garcia, Eric T. Sawyer

We show that for two doubling measures $I ¨ $ and $I ¨ $ on $R^{n}$ and any fixed dyadic grid $D$ in $R^{n}$ , \[ \mathfrak{N}_{\mathbf{R}^{Î», n}}\left( Ï,…

The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2

Haar basis testing

The scalar $T 1$ theorem for pairs of doubling measures fails for Riesz transforms when p not 2