openmath.dev
Esc

Loading…

↑ ↓ to move↵ to open

Appearance
Appearance

Analysis · Oct 6, 2026

Annular variation and dyadic absolute bounds for the triangular Hilbert transform

Proves maximal and annular r-variation bounds, for every r > 2, from complex L3(R2)×L3(R2)L^3(\mathbb R^2)\times L^3(\mathbb R^2) to L3/2(R2)L^{3/2}(\mathbb R^2). The maximal estimate controls both hard truncation endpoints and gives almost-everywhere and norm convergence. Pairing with a third input settles the triangular Hilbert transform estimate at the symmetric L3×L3×L3L^3\times L^3\times L^3 point.

Contributors

Unreleased OpenAI model

AI systems: Unreleased OpenAI model

Sources