Remark: Family 086. An L 3 bound for the trilinear Hilbert transform

Proves that the principal-value trilinear Hilbert transform with shifts $x-t$, $x-2t$, $x-3t$ is bounded from $L^3(\mathbb{R}{)}^3$ to $L^1(\mathbb{R})$. This resolves the $L^3$ exponent case of the standard conjecture for slopes $1,2,3$.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.