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math.FA2023
Haar basis testing
Michel Alexis, Jose Luis Luna-Garcia, Eric T. Sawyer
We show that for two doubling measures and on and any fixed dyadic grid in , \[ \mathfrak{N}_{\mathbf{R}^{λ, n}}\left( σ,ω\ri…
math.FA2023
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