Spaces H^1 and BMO on ax+b-groups
| dc.creator | Vallarino, Maria | |
| dc.date | 2008-04-29 | |
| dc.date.accessioned | 2026-07-07T09:35:51Z | |
| dc.date.available | 2026-07-07T09:35:51Z | |
| dc.description | Let S be the semidirect product of R^d and R^+ endowed with the Riemannian symmetric space metric and the right Haar measure: this is a Lie group of exponential growth. In this paper we define an Hardy space H^1 and a BMO space in this context. We prove that the functions in BMO satisfy the John-Nirenberg inequality and that BMO may be identified with the dual space of H^1. We then prove that singular integral operators which satisfy a suitable integral Hormander condition are bounded from H^1 to L^1 and from L^{\infty} to BMO. We also study the real interpolation between H^1, BMO and the L^p spaces. | |
| dc.identifier | https://arxiv.org/abs/0804.4615 | |
| dc.identifier | http://arxiv.org/abs/0804.4615 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159972 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 22E30, 42B20, 42B30, 46B70 | |
| dc.title | Spaces H^1 and BMO on ax+b-groups | |
| dc.type | text |