An Incidence Estimate and a Furstenberg Type Estimate for Tubes in $$\mathbb {R}^2$$ R 2

Author(s)
Fu, Yuqiu; Gan, Shengwen; Ren, Kevin
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Abstract
Abstract We study the $$\delta $$ δ -discretized Szemerédi–Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes satisfy some spacing condition. For both problems, we construct sharp examples that share common features.
Date issued
2022-07-01
URI
https://hdl.handle.net/1721.1/143627
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer US
Citation
Journal of Fourier Analysis and Applications. 2022 Jul 01;28(4):59
Version: Final published version
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