Furstenberg set theorem for transversal families of functions

Published 26 Aug 2025 in math.CA and math.CO | (2508.19047v1)

Abstract: We prove an extension of the Furstenberg set theorem to families of graphs satisfying a transversality condition. We apply the result to derive bounds on $L^{p}$-norms of Fourier transforms of fractal measures supported on plane curves.

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