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arXiv · 2506.05624

Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type

Siddharth Mulherkar
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Abstract

A Mizohata-Takeuchi type estimate is a type of weighted Fourier restriction estimate. Using tools from high dimensional probability, we construct a large class of weights that satisfy sharp estimates of Mizohata-Takeuchi type. One can interpret our result as saying that with high probability, a generic weight satisfies a sharp inequality of Mizohata-Takeuchi type (up to an epsilon-loss).

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Siddharth Mulherkar. 2025-06-05. Random Constructions for Sharp Estimates of Mizohata-Takeuchi Type. https://arxiv.org/abs/2506.05624

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