Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces
| dc.creator | Kyriazis, George | |
| dc.creator | Petrushev, Pencho | |
| dc.creator | Xu, Yuan | |
| dc.date | 2006-10-20 | |
| dc.date.accessioned | 2026-07-07T07:29:16Z | |
| dc.date.available | 2026-07-07T07:29:16Z | |
| dc.description | The Littlewood-Paley theory is extended to weighted spaces of distributions on $[-1,1]$ with Jacobi weights $ \w(t)=(1-t)^α(1+t)^β. $ Almost exponentially localized polynomial elements (needlets) $\{ϕ_ξ\}$, $\{ψ_ξ\}$ are constructed and, in complete analogy with the classical case on $\RR^n$, it is shown that weighted Triebel-Lizorkin and Besov spaces can be characterized by the size of the needlet coefficients $\{\ip{f,ϕ_ξ}\}$ in respective sequence spaces. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610624 | |
| dc.identifier | http://arxiv.org/abs/math/0610624 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118036 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42A38, 42B08, 42B15 | |
| dc.title | Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces | |
| dc.type | text |