Incidence estimates for well spaced tubes

DOI10.1007/s00039-019-00519-yzbMath1460.52017arXiv1904.05468OpenAlexW2984538226WikidataQ126814312 ScholiaQ126814312MaRDI QIDQ2009029

Hong Wang, Noam Solomon, Lawrence Guth

Publication date: 27 November 2019

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05468

zbMATH Keywords

Szemerédi-Trotter theoremtubeKakeya problem

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (10)

An incidence estimate and a Furstenberg type estimate for tubes in \(\mathbb{R}^2\) ⋮ A non-linear version of Bourgain's projection theorem ⋮ On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane ⋮ A sharp \(L^{10}\) decoupling for the twisted cubic ⋮ AN INCIDENCE RESULT FOR WELL-SPACED ATOMS IN ALL DIMENSIONS ⋮ Sharp superlevel set estimates for small cap decouplings of the parabola ⋮ Decoupling inequalities for short generalized Dirichlet sequences ⋮ Kaufman and Falconer estimates for radial projections and a continuum version of Beck's theorem ⋮ A sharp square function estimate for the cone in \(\mathbb{R}^3\) ⋮ Small cap decouplings. With an appendix by D. R. Heath-Brown.

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