Operator-valued dyadic BMO spaces
| dc.creator | Blasco, Oscar | |
| dc.creator | Pott, Sandra | |
| dc.date | 2008-05-01 | |
| dc.date.accessioned | 2026-07-07T09:36:37Z | |
| dc.date.available | 2026-07-07T09:36:37Z | |
| dc.description | We consider BMO spaces of operator-valued functions, among them the space of operator-valued functions $B$ which define a bounded paraproduct on $L^2(H)$. We obtain several equivalent formulations of $\|π_B\|$ in terms of the norm of the "sweep" function of $B$ or of averages of the norms of martingales transforms of $B$ in related spaces. Furthermore, we investigate a connection between John-Nirenberg type inequalities and Carleson-type inequalities via a product formula for paraproducts and deduce sharp dimensional estimates for John-Nirenberg type inequalities. | |
| dc.description | to appear in J. Operator Theory | |
| dc.identifier | https://arxiv.org/abs/0805.0158 | |
| dc.identifier | http://arxiv.org/abs/0805.0158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160182 | |
| dc.subject | Functional Analysis | |
| dc.subject | 42B30, 42B35 (Primary); 47B35 (Secondary) | |
| dc.title | Operator-valued dyadic BMO spaces | |
| dc.type | text |