An x-ray estimate in Rⁿ

1999/09/06 by Izabella Łaba, Izabella Laba, Terence Tao +2 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Nonlinear Partial Differential Equations #math.CA #msc:42B25

paper · pdf · doi:10.48550/arxiv.math/9909032

24 pages, no figures, submitted to Revista

arxiv created 1999/09/06 · arxiv updated 2009/11/30

Abstract

We prove an x-ray estimate in general dimension which is stronger than the Kakeya estimates of Wolff. This generalizes an x-ray estimate in three dimensions which is also due to Wolff.

Cited by

• An incidence bound for k-planes in Fⁿ and a planar variant of the Kakeya maximal function

Related

• Two bounds for the x-ray transform
• Sharp endpoint estimates for the X-ray transform and the Radon transform in finite fields
• A refined trilinear Kakeya estimate in ℝ³
• A Counterexample to the Mizohata-Takeuchi Conjecture
• Restriction and Kakeya maximal estimates in ℝ⁴