OpenAI research collection · 1 manuscript · Source checked 2026-10-19
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.
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We prove that the trilinear Hilbert transform with fixed slopes 1, 2, 3 maps L^3(\mathbb R)× L^3(\mathbb R)× L^3(\mathbb R) to L^1(\mathbb R), resolving this case of the trilinear Hilbert transform conjecture.
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