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arXiv · 2310.13750

Optimal weighted Fourier restriction estimates for the sphere in 2D

Rainer Mandel
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Abstract

We prove weighted versions of the 2D Restriction Conjecture for the unit sphere in $\mathbb{R}^2$. Our results involve the weight functions $(1+|x|)^\alpha(1+|y|)^\beta$ and $(1+|x|+|y|)^\gamma$ with $\alpha,\beta,\gamma\geq 0$.

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Rainer Mandel. 2023-10-20. Optimal weighted Fourier restriction estimates for the sphere in 2D. https://arxiv.org/abs/2310.13750

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