Cesàro means of orthogonal expansions in several variables
| dc.creator | Dai, Feng | |
| dc.creator | Xu, Yuan | |
| dc.date | 2007-05-17 | |
| dc.date.accessioned | 2026-07-07T08:02:00Z | |
| dc.date.available | 2026-07-07T08:02:00Z | |
| dc.description | Cesàro $(C,δ)$ means are studied for orthogonal expansions with respect to the weight function $\prod_{i=1}^{d}|x_i|^{2\k_i}$ on the unit sphere, and for the corresponding weight functions on the unit ball and the Jacobi weight on the simplex. A sharp pointwise estimate is established for the $(C,\d)$ kernel with $\d > -1$ and for the kernel of the projection operator, which allows us to derive the exact order for the norm of the Cesàro means and the projection operator on these domains. | |
| dc.identifier | https://arxiv.org/abs/0705.2477 | |
| dc.identifier | http://arxiv.org/abs/0705.2477 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129096 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | General Mathematics | |
| dc.subject | 33C50 | |
| dc.title | Cesàro means of orthogonal expansions in several variables | |
| dc.type | text |