On restriction estimates for the zero radius sphere over finite fields

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.

24 pages, No figures, changing title and including Appendix

References in corpus (1)

• On the restriction problem for discrete paraboloid in lower dimension