On Restriction Estimates for the Zero Radius Sphere over Finite Fields

Type: Article

Publication Date: 2020-02-27

Citations: 16

DOI: https://doi.org/10.4153/s0008414x20000152

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.

Locations

  • Canadian Journal of Mathematics - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

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