English

On restriction estimates for the zero radius sphere over finite fields

Classical Analysis and ODEs 2023-06-22 v3

Abstract

In this paper, we solve completely the L2LrL^2\to L^r extension conjecture for the zero radius sphere over finite fields. We also obtain the sharp LpL4L^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.

Keywords

Cite

@article{arxiv.1806.11387,
  title  = {On restriction estimates for the zero radius sphere over finite fields},
  author = {Alex Iosevich and Doowon Koh and Sujin Lee and Thang Pham and Chun-Yen Shen},
  journal= {arXiv preprint arXiv:1806.11387},
  year   = {2023}
}

Comments

24 pages, No figures, changing title and including Appendix

R2 v1 2026-06-23T02:45:57.911Z