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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

arxiv（2023）

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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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