Characterizations of the Hardy Space $H^1$ and BMO
| dc.creator | Abu-Shammala, Wael | |
| dc.creator | Shiu, Ji-Liang | |
| dc.creator | Torchinsky, Alberto | |
| dc.date | 2005-10-13 | |
| dc.date | 2006-01-24 | |
| dc.date.accessioned | 2026-07-07T06:47:27Z | |
| dc.date.available | 2026-07-07T06:47:27Z | |
| dc.description | We describe the spaces $H^1(R)$ and BMO$(R)$ in terms of their closely related, simpler dyadic and two-sided counterparts. As a result of these characterizations we establish when a bounded linear operator defined on dyadic or two-sided $H^1(R)$ into a Banach space has a continuous extension to $H^1(R)$ and when a bounded linear operator that maps a Banach space into dyadic or two-sided BMO$(R)$ actually maps continuously into BMO$(R)$. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510280 | |
| dc.identifier | http://arxiv.org/abs/math/0510280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103656 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 42B20; 42B99 | |
| dc.title | Characterizations of the Hardy Space $H^1$ and BMO | |
| dc.type | text |