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arXiv · 2106.15619

An endpoint estimate of the bilinear paraboloid restriction operator

Jungjin Lee
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Abstract

In Fourier restriction problems, a cone and a paraboloid are model surfaces. The sharp bilinear cone restriction estimate was first shown by Wolff, and later the endpoint was obtained by Tao. For a paraboloid, the sharp $L^2$ bilinear restriction estimate was obtained by Tao, but the endpoint was remained open. In this paper we prove the endpoint $L^2$ bilinear restriction estimate for a paraboloid.

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Jungjin Lee. 2021-06-28. An endpoint estimate of the bilinear paraboloid restriction operator. https://arxiv.org/abs/2106.15619

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