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arXiv · 1806.11387

On restriction estimates for the zero radius sphere over finite fields

Alex Iosevich·Doowon Koh·Sujin Lee·Thang Pham·Chun-Yen Shen
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Abstract

In this paper, we solve completely the $L^2\to L^r$ extension conjecture for the zero radius sphere over finite fields. We also obtain the sharp $L^p\to L^4$ extension estimate for non-zero radii spheres over finite fields, which improves significantly the previous result of the first and second listed authors.

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Alex Iosevich, Doowon Koh, Sujin Lee, Thang Pham, Chun-Yen Shen. 2018-06-29. On restriction estimates for the zero radius sphere over finite fields. https://doi.org/10.4153/s0008414x20000152

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