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On decoupling and restriction estimates
Published online by Cambridge University Press: 07 August 2025
Abstract
In this short paper, we prove that the restriction conjecture for the (hyperbolic) paraboloid in 
$\mathbb{R}^{d}$ implies the 
$l^p$-decoupling theorem for the (hyperbolic) paraboloid in 
$\mathbb{R}^{2d-1}$. In particular, this gives a simple proof of the 
$l^p$ decoupling theorem for the (hyperbolic) paraboloid in 
$\mathbb{R}^3$.
MSC classification
Primary:
42B08: Summability
Information
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2025. Published by Cambridge University Press on behalf of Cambridge Philosophical Society
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