Restriction estimates using polynomial partitioning II

Larry Guth

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arXiv · 1603.04250

Restriction estimates using polynomial partitioning II

Larry Guth

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Abstract

We improve the estimates in the restriction problem in dimension $n \ge 4$. To do so, we establish a weak version of a $k$-linear restriction estimate for any $k$. The exponents in this weak $k$-linear estimate are sharp for all $k$ and $n$.

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Larry Guth. 2016-03-14. Restriction estimates using polynomial partitioning II. https://arxiv.org/abs/1603.04250

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