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Remark: 086-01. An L3 bound for the trilinear Hilbert transform

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Authors: OpenAI. Family 086.

Title: An L3 bound for the trilinear Hilbert transform.

Abstract: We prove that the trilinear Hilbert transform with fixed slopes 1, 2, 3 maps $L{}3({}mathbb R){}times L{}3({}mathbb R){}times L{}3({}mathbb R)$ to $L{}1({}mathbb R)$, resolving this case of the trilinear Hilbert transform conjecture.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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