On a Lipschitz Variant of the Kakeya Maximal Function
| dc.creator | Lacey, Michael | |
| dc.creator | Li, Xiaochun | |
| dc.date | 2006-01-10 | |
| dc.date | 2006-11-02 | |
| dc.date.accessioned | 2026-07-07T06:58:43Z | |
| dc.date.available | 2026-07-07T06:58:43Z | |
| dc.description | In a prior work [Hilbert transform along smooth families of lines math.CA/0310345] the authors introduced a variant of the Kakeya maximal function associated with Lipschitz maps from the plane into the unit circle. In this paper, we improve the known estimates for this maximal operator--and raise the conjecture that the bounds established are optimal. | |
| dc.description | 12 pages. The L^2 estimate for the maximal function in this paper is correct. A claimed L^p inequality, for 1<p<2, had an incomplete proof | |
| dc.identifier | https://arxiv.org/abs/math/0601213 | |
| dc.identifier | http://arxiv.org/abs/math/0601213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107469 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42 | |
| dc.title | On a Lipschitz Variant of the Kakeya Maximal Function | |
| dc.type | text |