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arXiv · 2506.02650

Weighted $L^2$ estimates with applications to $L^p$ problems

Shukun Wu
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Abstract

We establish some weighted $L^2$ estimates for the Fourier extension operator in $\mathbb{R}^2$ and discuss several applications to $L^p$ problems. These include estimates for the maximal Schrödinger operator and the maximal extension operator, decay of circular $L^p$-means of Fourier transform of fractal measures, and an $L^p$ analogue of the Mizohata-Takeuchi conjecture.

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Shukun Wu. 2025-06-03. Weighted $L^2$ estimates with applications to $L^p$ problems. https://arxiv.org/abs/2506.02650

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