ON THE DIMENSION OF KAKEYA SETS IN THE FIRST HEISENBERG GROUP
We define Kakeya sets in the Heisenberg group and show that the Heisenberg Hausdorff dimension of Kakeya sets in the first Heisenberg group is at least 3. This lower bound is sharp since, under our definition, the {xoy}- plane is a Kakeya set with Heisenberg Hausdorff dimension 3. © 2022 American Ma...
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| Format: | Article |
| Language: | English |
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American Mathematical Society
2022
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| Online Access: | View Fulltext in Publisher |