Two-ends Furstenberg inequality for transversal families and applications to Fourier decay
arXiv:2607.08461
Abstract
We generalise the recent two-ends Furstenberg inequality due to Wang and the second author from lines to a family of transversal curves, and give a much simplified proof. As an application, we present a result pertaining to the Fourier decay of fractal measures on convex curves.
45 pages