Rellich identities for the Hilbert transform
| dc.contributor.author | Carro Rossell, María Jesús | |
| dc.contributor.author | Naibo, Virginia | |
| dc.contributor.author | Soria Carro, María | |
| dc.date.accessioned | 2026-01-14T16:19:34Z | |
| dc.date.available | 2026-01-14T16:19:34Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We prove Hilbert transform identities involving conformal maps via the use of Rellich identity and the solution of the Neumann problem in a graph Lipschitz domain in the plane. We obtain as consequences new weighted estimates for the Hilbert transform, including a sharp bound for its norm as a bounded operator in weighted in terms of a weight constant associated to the Helson-Szegö theorem. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.officialurl | https://doi.org/10.1016/j.jfa.2023.110271 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/130243 | |
| dc.issue.number | Paper No. 110271, 22 pp. | |
| dc.journal.title | Journal of Functional Analysis | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | open access | |
| dc.subject.keyword | Hilbert transform | |
| dc.subject.keyword | Rellich identity | |
| dc.subject.keyword | A2-conjecture | |
| dc.subject.keyword | Helson–Szegö theorem | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.title | Rellich identities for the Hilbert transform | |
| dc.type | journal article | |
| dc.volume.number | 286 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | acc8e1a8-fd56-4017-bb13-dd3a66c88eaa | |
| relation.isAuthorOfPublication.latestForDiscovery | acc8e1a8-fd56-4017-bb13-dd3a66c88eaa |
