An incidence bound for $k$-planes in $F^n$ and a planar variant of the Kakeya maximal function
| dc.creator | Bueti, John | |
| dc.date | 2006-09-12 | |
| dc.date | 2006-10-13 | |
| dc.date.accessioned | 2026-07-07T07:24:45Z | |
| dc.date.available | 2026-07-07T07:24:45Z | |
| dc.description | We discuss a planar variant of the Kakeya maximal function in the setting of a vector space over a finite field. Using methods from incidence combinatorics, we demonstrate that the operator is bounded from $L^p$ to $L^q$ when $1 \leq p \leq \frac{kn+k+1}{k(k+1)}$ and $1 \leq q \leq (n-k)p'$. | |
| dc.description | 34 pages, 2 figures; Revised introduction and expanded references | |
| dc.identifier | https://arxiv.org/abs/math/0609337 | |
| dc.identifier | http://arxiv.org/abs/math/0609337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116487 | |
| dc.subject | Combinatorics | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | An incidence bound for $k$-planes in $F^n$ and a planar variant of the Kakeya maximal function | |
| dc.type | text |