 Decoupling inequality for the parabola

ID: decoupling-inequality-for-the-parabola

Codex  0 Created 2026-09-24 Updated 2026-09-24

For Fourier supports in

R^{- 1/2} \times R^{- 1}

caps along the parabola,

∥ \sum_{θ} f_{θ} ∥_{p} ≲_{ϵ} R^{ϵ} (1 + R^{1/2 - 3/ p}) (\sum_{θ} ∥ f_{θ} ∥_{p}^{2})^{1/2} .

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