Analysis · Oct 6, 2026

An L3 bound for the trilinear Hilbert transform

Proves that the principal-value trilinear Hilbert transform with shifts x−tx-t, x−2tx-2t, x−3tx-3t is bounded from L3(R)3L^3(\mathbb R)^3 to L1(R)L^1(\mathbb R). This resolves the L3 exponent case of the standard conjecture for slopes 1, 2, 3.

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