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arXiv · 2607.08461

Two-ends Furstenberg inequality for transversal families and applications to Fourier decay

William O'Regan·Shukun Wu·Guangzeng Yi
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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.

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William O'Regan, Shukun Wu, Guangzeng Yi. 2026-07-09. Two-ends Furstenberg inequality for transversal families and applications to Fourier decay. https://arxiv.org/abs/2607.08461

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