On singular integral and martingale transforms
| dc.creator | Geiss, S. | |
| dc.creator | Montgomery-Smith, S. | |
| dc.creator | Saksman, E. | |
| dc.date | 2007-01-18 | |
| dc.date | 2008-11-05 | |
| dc.date.accessioned | 2026-07-07T10:15:29Z | |
| dc.date.available | 2026-07-07T10:15:29Z | |
| dc.description | Linear equivalences of norms of vector-valued singular integral operators and vector-valued martingale transforms are studied. In particular, it is shown that the UMD(p)-constant of a Banach space X equals the norm of the real (or the imaginary) part of the Beurling-Ahlfors singular integral operator, acting on the X-valued L^p-space on the plane. Moreover, replacing equality by a linear equivalence, this is found to be the typical property of even multipliers. A corresponding result for odd multipliers and the Hilbert transform is given. | |
| dc.description | 23 pages, basically references and typos corrected in the new version | |
| dc.identifier | https://arxiv.org/abs/math/0701516 | |
| dc.identifier | http://arxiv.org/abs/math/0701516 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173188 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Probability | |
| dc.subject | 60G46; 42B15 (Primary), 42B20; 46B09; 46B20 (Secondary) | |
| dc.title | On singular integral and martingale transforms | |
| dc.type | text |