Optimal weighted Fourier restriction estimates for the sphere in 2D

2023/10/20 by Mandel, Rainer
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.13750

Abstract

We prove weighted versions of the 2D Restriction Conjecture for the unit sphere in ℝ². Our results involve the weight functions (1+|x|)^α(1+|y|)^β and (1+|x|+|y|)^γ with α,β,γ≥ 0.

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