An exceptional set estimate for restricted projections to lines in \(\mathbb{R}^3\)

DOI10.1007/S12220-023-01456-XzbMath1528.28019arXiv2209.15152OpenAlexW4388291163MaRDI QIDQ6089373

Shengwen Gan, Lawrence Guth, Dominique Maldague

Publication date: 17 November 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.15152

zbMATH Keywords

small cap decouplingsexceptional set estimatesrestricted projections

Mathematics Subject Classification ID

Fractals (28A80) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (1)

Length of sets under restricted families of projections onto lines

Cites Work

• A sharp square function estimate for the cone in \(\mathbb{R}^3\)
• Small cap decouplings. With an appendix by D. R. Heath-Brown.
• On restricted families of projections in ℝ³
• Hausdorff dimension, orthogonal projections and intersections with planes
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
• Some connections between Falconer's distance set conjecture and sets of Furstenburg type

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