Szemerédi-Trotter bounds for tubes and applications

2024/06/11 by Demeter, Ciprian, Wang, Hong · 3 citations
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.06884

Abstract

We prove sharp estimates for incidences involving planar tubes that satisfy packing conditions. We apply them to improve the estimates for the Fourier transform of fractal measures supported on planar curves.

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• Incidence estimates for quasi-product sets and applications
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