Tent Spaces Associated with Semigroups of Operators
| dc.creator | Mei, Tao | |
| dc.date | 2007-09-26 | |
| dc.date | 2008-12-07 | |
| dc.date.accessioned | 2026-07-07T12:09:33Z | |
| dc.date.available | 2026-07-07T12:09:33Z | |
| dc.description | We study tent spaces on general measure spaces $(Ω, μ)$. We assume that there exists a semigroup of positive operators on $L^p(Ω, μ)$ satisfying a monotone property but do not assume any geometric/metric structure on $Ω$. The semigroup plays the same role as integrals on cones and cubes in Euclidean spaces. We then study BMO spaces on general measure spaces and get an analogue of Fefferman's $H^1$-BMO duality theory. We also get a $H^1$-BMO duality inequality without assuming the monotone property. All the results are proved in a more general setting, namely for noncommutative $L^p$ spaces. | |
| dc.description | The statement of Lemma 3.11 is corrected | |
| dc.identifier | https://arxiv.org/abs/0709.4226 | |
| dc.identifier | http://arxiv.org/abs/0709.4226 | |
| dc.identifier | Journal of Functional Analysis, 255 (2008) 3356-3406 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209662 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 46L52 (Primary); 32C05 (Secondary) | |
| dc.title | Tent Spaces Associated with Semigroups of Operators | |
| dc.type | text |