On the dimension of Kakeya sets in the first Heisenberg group

DOI10.1090/proc/15914OpenAlexW3176417795MaRDI QIDQ5097331

Jiayin Liu

Publication date: 23 August 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.11937

zbMATH Keywords

Heisenberg groupHausdorff dimensionKakeya set

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items

Restricted families of projections onto planes: the general case of nonvanishing geodesic curvature ⋮ Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences ⋮ A note on Kakeya sets of horizontal and SL(2)$SL(2)$ lines

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