Szemer\'edi-Trotter bounds for tubes and applications
Classical Analysis and ODEs
2025-02-24 v3
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.
Cite
@article{arxiv.2406.06884,
title = {Szemer\'edi-Trotter bounds for tubes and applications},
author = {Ciprian Demeter and Hong Wang},
journal= {arXiv preprint arXiv:2406.06884},
year = {2025}
}
Comments
Final version, published by Ars Inveniendi Analytica