The best constant for centered Hardy-Littlewood maximal inequality
| dc.creator | Melas, Antonios D. | |
| dc.date | 2003-11-25 | |
| dc.date.accessioned | 2026-07-07T05:03:16Z | |
| dc.date.available | 2026-07-07T05:03:16Z | |
| dc.description | We find the exact value of the best possible constant $C$ for the weak type $(1,1)$ inequality for the one dimensional centered Hardy-Littlewood maximal operator. We prove that $C$ is the largest root of the quadratic equation $12C^{2}-22C+5=0$ thus obtaining $C=1.5675208...$. This is the first time the best constant for one of the fundamental inequalities satisfied by a centered maximal operator is precisely evaluated. | |
| dc.description | 42 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/0311452 | |
| dc.identifier | http://arxiv.org/abs/math/0311452 | |
| dc.identifier | Ann. of Math. (2), Vol. 157 (2003), no. 2, 647--688 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69344 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | The best constant for centered Hardy-Littlewood maximal inequality | |
| dc.type | text |