 Trilinear Kakeya inequality in three dimensions

ID: trilinear-kakeya-inequality-in-three-dimensions

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

For three transverse families of

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

tubes in

R^{3}

\prod_{j = 1}^{3} (\sum_{T \in T_{j}} χ_{T})^{1/3}_{3/2} ≲_{ϵ} R^{1 + ϵ} \prod_{j = 1}^{3} ∣ T_{j} ∣^{1/3} .

 New to topics? Read the docs here!