| viXra.org > Functions and Analysis > viXra:2403.0068 |
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| viXra.org > Functions and Analysis > viXra:2403.0068 |
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Functions and Analysis |
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Authors: Johan Aspegren
In this paper we reduce the Kakeya maximal function conjecture to the tube sets of unit measure. We show that the Kakeya maximal function is essentially monotonic. So by adding tubes we can reduce the conjecture to the case of unit measure tube set if we allow the technicality that there are possibly two tubes on the same direction. Then we proof the Kakeya maximal function conjecture from our lemma.
Comments: 7 Pages.
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[v1] 2024-03-15 17:51:31
[v2] 2024-03-21 14:39:11 (removed)
[v3] 2024-04-01 13:14:21 (removed)
[v4] 2024-04-07 12:16:30
[v5] 2024-10-18 12:23:43
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