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roos-j/lean-superorthogonality

Joris Roos

Palomar Registrypalomar/PALOMAR-2026-08-31-000015Aug 31, 2026math.CAscore 0

A Lean formalization of the main result (Theorem 1) of the paper "A new type of superorthogonality" by P. T. Gressman, L. B. Pierce, J. Roos, and P.-L. Yung; arXiv:2212.08956, Proc. Amer. Math. Soc. 152, 665-675, 2024. The theorem provides a simple criterion on a family of functions that implies a square function estimate on Lp for every even integer p ≥ 2. This defines a new type of superorthogonality that is verified by checking a less restrictive criterion than any other type of superorthogonality previously known.

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