Boundedness of projection operators and Cesàro means in weighted $L^p$ space on the unit sphere
| dc.creator | Dai, Feng | |
| dc.creator | Xu, Yuan | |
| dc.date | 2007-06-06 | |
| dc.date.accessioned | 2026-07-07T08:04:18Z | |
| dc.date.available | 2026-07-07T08:04:18Z | |
| dc.description | For the weight function $\prod_{i=1}^{d+1}|x_i|^{2\k_i}$ on the unit sphere, sharp local estimates of the orthogonal projection operators are obtained and used to prove the convergence of the Cesàro $(C,δ)$ means in the weighted $L^p$ space for $δ$ below the critical index. Similar results are also proved for corresponding weight functions on the unit ball and on the simplex. | |
| dc.identifier | https://arxiv.org/abs/0706.0756 | |
| dc.identifier | http://arxiv.org/abs/0706.0756 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129906 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 33C50; 42B08; 42C10 | |
| dc.title | Boundedness of projection operators and Cesàro means in weighted $L^p$ space on the unit sphere | |
| dc.type | text |