On decoupling and restriction estimates

2025/03/18 by Oh, Changkeun
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.14276

Abstract

In this short note, we prove that the restriction conjecture for the (hyperbolic) paraboloid in ℝ^d implies the l^p-decoupling theorem for the (hyperbolic) paraboloid in ℝ^2d-1. In particular, this gives a simple proof of the l^p decoupling theorem for the (hyperbolic) paraboloid in ℝ³.

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