Furstenberg sets for a fractal set of directions

DOI10.1090/S0002-9939-2011-11111-0zbMath1280.28006arXiv1009.0481OpenAlexW2043044424MaRDI QIDQ2845551

Ezequiel Rela, Ursula M. Molter

Publication date: 2 September 2013

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

Full work available at URL: https://arxiv.org/abs/1009.0481

zbMATH Keywords

Hausdorff dimensiondimension functionFurstenberg setsKakeya sets

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

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Cites Work

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• Sets whose Hausdorff measure equals method I outer measure.
• Norm estimates for the Kakeya maximal function with respect to general measures.
• Improving dimension estimates for Furstenberg-type sets
• Small Furstenberg sets
• Every set of finite Hausdorff measure is a countable union of sets whose Hausdorff measure and content coincide
• Some connections between Falconer's distance set conjecture and sets of Furstenburg type

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