Heisenberg Hausdorff dimension of Besicovich sets

DOI10.2478/agms-2014-0013zbMath1303.28008arXiv1406.1306OpenAlexW3125305811MaRDI QIDQ483952

Laura Venieri

Publication date: 17 December 2014

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.1306

zbMATH Keywords

Heisenberg groupHausdorff dimensionKakeya maximal functionBesicovitch set

Mathematics Subject Classification ID

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

Related Items (1)

On the dimension of Kakeya sets in the first Heisenberg group

Cites Work

• Unnamed Item
• Besicovitch type maximal operators and applications to Fourier analysis
• On the dimension of Kakeya sets and related maximal inequalities
• Hausdorff dimension, projections, and the Fourier transform
• Bounds on arithmetic projections, and applications to the Kakeya conjecture
• New bounds for Kakeya problems
• An improved bound for Kakeya type maximal functions
• The Bochner-Riesz conjecture implies the restriction conjecture

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