Classical zero-curvature trilinear Hilbert transform conjecture
Let γ(t)=(a1t,a2t,a3t)\gamma(t)=(a_1t,a_2t,a_3t)γ(t)=(a1t,a2t,a3t), where a1,a2,a3a_1,a_2,a_3a1,a2,a3 are nonzero and pairwise distinct, so that γ\gammaγ is a nondegenerate line in R3\mathbb{R}^3R3. For f⃗=(f1,f2,f3)\vec f=(f_1,f_2,f_3)f=(f1,f2,f3) and…