论文标题

关于傅立叶限制和嵌套多项式沃尔夫公理的注释

A note on Fourier restriction and nested Polynomial Wolff axioms

论文作者

Hickman, Jonathan, Zahl, Joshua

论文摘要

本说明记录了对高维度的傅立叶限制猜想的已知$ l^p $范围的渐近改进。这是通过将Guth的多项式分区方法与有关与品种嵌套家族的管子相交的最新几何结果相结合而获得的。

This note records an asymptotic improvement on the known $L^p$ range for the Fourier restriction conjecture in high dimensions. This is obtained by combining Guth's polynomial partitioning method with recent geometric results regarding intersections of tubes with nested families of varieties.

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