Hankel Operators and Weak Factorization for Hardy-Orlicz Spaces
| dc.creator | Bonami, Aline | |
| dc.creator | Grellier, Sandrine | |
| dc.date | 2009-02-12 | |
| dc.date.accessioned | 2026-07-07T12:40:58Z | |
| dc.date.available | 2026-07-07T12:40:58Z | |
| dc.description | We study the holomorphic Hardy-Orlicz spaces H^Φ(Ω), where Ωis the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in Cn . The function Φis in particular such that H ^1(Ω) \subset H^Φ(Ω) \subset H ^p (Ω) for some p > 0. We develop for them maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Omega). As a consequence, we characterize those Hankel operators which are bounded from H ^Φ(Ω) into H^1 (Ω). | |
| dc.identifier | https://arxiv.org/abs/0902.2138 | |
| dc.identifier | http://arxiv.org/abs/0902.2138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219615 | |
| dc.subject | Complex Variables | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 32A35, 32A37, 47B3 | |
| dc.title | Hankel Operators and Weak Factorization for Hardy-Orlicz Spaces | |
| dc.type | text |