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On Restriction Estimates for the Zero Radius Sphere over Finite Fields
- Part of
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- Journal:
- Canadian Journal of Mathematics / Volume 73 / Issue 3 / June 2021
- Published online by Cambridge University Press:
- 27 February 2020, pp. 769-786
- Print publication:
- June 2021
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- Article
- Export citation
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In this paper, we completely solve 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 the previous result of the first and second authors significantly.
