Heisenberg Hausdorff Dimensionof Besicovitch Sets
We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
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| Format: | Article |
| Language: | English |
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De Gruyter
2014-01-01
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| Series: | Analysis and Geometry in Metric Spaces |
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| Online Access: | https://doi.org/10.2478/agms-2014-0013 |
| Summary: | We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension. |
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| ISSN: | 2299-3274 |