Low-dimensional pinned distance sets via spherical averages

DOI10.1007/s12220-021-00686-1zbMath1483.28002arXiv2101.12589OpenAlexW3128228301MaRDI QIDQ2238559

Terence L. J. Harris

Publication date: 1 November 2021

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

Full work available at URL: https://arxiv.org/abs/2101.12589

zbMATH Keywords

Fourier transformHausdorff dimension

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75)

Cites Work

• Unnamed Item
• On the dimension of divergence sets of dispersive equations
• An \(L^2\)-identity and pinned distance problem
• Improved bounds for the dimensions of planar distance sets
• An improved result for Falconer's distance set problem in even dimensions
• Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
• On the Hausdorff dimensions of distance sets
• Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets
• SPHERICAL MEANS AND PINNED DISTANCE SETS
• Hausdorff dimension of pinned distance sets and the 𝐿²-method
• Fourier Analysis and Hausdorff Dimension

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