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Formalization of Carleson's theorem via the Lacey-Thiele approach

Joris Roos

Palomar Registrypalomar/PALOMAR-2026-10-12-000008Oct 17, 2026math.CAscore 0

This is a Lean 4 formalization of Theorem 1.1 from the paper "Bounds for anisotropic Carleson operators" by J. Roos, which generalizes the Lacey-Thiele proof for Carleson's theorem. The classical Carleson theorem on pointwise almost everywhere convergence of Fourier series is derived as a special case.

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