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arxiv: 1406.1306 · v1 · pith:BJJHY3PInew · submitted 2014-06-05 · 🧮 math.MG · math.CA

Heisenberg Hausdorff dimension of Besicovitch sets

classification 🧮 math.MG math.CA
keywords heisenbergbesicovitchdimensionhausdorffsetsboundedboundsconsider
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We consider (bounded) Besicovitch sets in the Heisenberg group and prove that $L^p$ estimates for the Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.

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