Weighted Hardy and singular operators in Morrey spaces
| dc.creator | Samko, Natasha | |
| dc.date | 2008-08-18 | |
| dc.date.accessioned | 2026-07-07T09:57:08Z | |
| dc.date.available | 2026-07-07T09:57:08Z | |
| dc.description | We study the weighted boundedness of the Cauchy singular integral operator $S_\Gm$ in Morrey spaces $L^{p,λ}(\Gm)$ on curves satisfying the arc-chord condition, for a class of "radial type" almost monotonic weights. The non-weighted boundedness is shown to hold on an arbitrary Carleson curve. We show that the weighted boundedness is reduced to the boundedness of weighted Hardy operators in Morrey spaces $L^{p,λ}(0,\ell), \ell>0$. We find conditions for weighted Hardy operators to be bounded in Morrey spaces. To cover the case of curves we also extend the boundedness of the Hardy-Littlewood maximal operator in Morrey spaces, known in the Euclidean setting, to the case of Carleson curves. Key words and phrases: Morrey space, singular operator, Hardy operator, Hardy-Littlewood maximal operator, weighted estimate. | |
| dc.identifier | https://arxiv.org/abs/0808.2390 | |
| dc.identifier | http://arxiv.org/abs/0808.2390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167231 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46E30, 42B35, 42B25, 47B38 | |
| dc.title | Weighted Hardy and singular operators in Morrey spaces | |
| dc.type | text |