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arXiv · 2301.10046

The T1 theorem for the Hilbert transform fails when p is not 2

Michel Alexis·Jose Luis Luna-Garcia·Eric T. Sawyer·Ignacio Uriarte-Tuero
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Abstract

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

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Michel Alexis, Jose Luis Luna-Garcia, Eric T. Sawyer, Ignacio Uriarte-Tuero. 2023-01-24. The T1 theorem for the Hilbert transform fails when p is not 2. https://arxiv.org/abs/2301.10046

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