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math.CA2025
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…
math.CA2025
A reprise of the NTV conjecture for the Hilbert transform
Eric T. Sawyer
We give a slightly different proof of the NTV conjecture for the Hilbert transform that was proved by T. Hytönen, M. Lacey, E.T. Sawyer, C.-Y. Shen and I. Uriarte-Tuero, building…
math.CA2024
The Hytönen-Vuorinen L^{p} conjecture for the Hilbert transform, with an extended energy side condition, when (4/3)<p<4 and the measures share no point masses
Eric T. Sawyer, Brett D. Wick
In the case (4/3)<p<4, and assuming a pair of locally finite positive Borel measures on the real line have no common point masses, we prove variants of two conjectures of T. Hytön…