Geodesic
On Restriction Estimates for the Zero Radius Sphere over Finite Fields
Canadian journal of mathematics, Tome 73 (2021) no. 3, pp. 769-786

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DOI

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.
DOI : 10.4153/S0008414X20000152
Mots-clés : Restriction estimate, finite field, sphere 
Iosevich, Alex; Koh, Doowon; Lee, Sujin; Pham, Thang; Shen, Chun-Yen. On Restriction Estimates for the Zero Radius Sphere over Finite Fields. Canadian journal of mathematics, Tome 73 (2021) no. 3, pp. 769-786. doi: 10.4153/S0008414X20000152
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     title = {On {Restriction} {Estimates} for the {Zero} {Radius} {Sphere} over {Finite} {Fields}},
     journal = {Canadian journal of mathematics},
     pages = {769--786},
     year = {2021},
     volume = {73},
     number = {3},
     doi = {10.4153/S0008414X20000152},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000152/}
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