Open Research Index

Formalization of L^3 boundedness of the trilinear Hilbert transform

Joris Roos

Palomar Registrypalomar/PALOMAR-2026-10-20-000001Oct 20, 2026math.CAscore 0

This is a Lean 4 formalization of the `L³ x L³ x L³ → L¹` boundedness of the trilinear Hilbert transform. The formalization follows a blueprint that was generated by GPT-6 Astra Pro on the basis of a preprint claiming this result made public by OpenAI on Oct 6, 2026, and of a revised, shorter version of its argument generated by GPT-6. The preprint was made public without an accompanying formalization leaving possible doubts about its correctness. This formalization formally verifies its main result. The theorem statement is human-written, while the proof was autoformalized by coding agents.

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