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arXiv · 2609.12587

A weighted restriction estimate in $\mathbb R^2$

Xiangyu Wang
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Abstract

We establish a weighted restriction estimate in $\mathbb{R}^2$. Our proof combines new two-ends Furstenberg estimates with refined decoupling.As an application, our result yields decay estimates for the circular $L^p$-means of the Fourier transforms of fractal measures in $\mathbb{R}^2$.

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Xiangyu Wang. 2026-09-11. A weighted restriction estimate in $\mathbb R^2$. https://arxiv.org/abs/2609.12587

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