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arXiv · 2505.09037

Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$

Ciprian Demeter·Shukun Wu
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Abstract

We prove bilinear $\ell^2$-decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in $\mathbb{R}^3$. As an application, we prove the associated restriction estimate in the range $p>22/7$, matching an earlier result for the elliptic paraboloid.

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Ciprian Demeter, Shukun Wu. 2025-05-14. Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$. https://arxiv.org/abs/2505.09037

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