ON THE MULTIPARAMETER FALCONER DISTANCE PROBLEM
We study an extension of the Falconer distance problem in the multiparameter setting. Given ℓ ≥ 1 and ℝd = ℝd1 × · · · × ℝdℓ, di ≥ 2. For any compact set E ⊂ ℝd with Hausdorff dimension larger than d− min(2di) + 14 if min(di) is even, d− min(2di) + 14 + 4 min(1di) if min(di) is odd, we prove that th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Mathematical Society
2022
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| Online Access: | View Fulltext in Publisher |