dc.contributor.author | Domenico Di Salvo, Giovanni | |
dc.contributor.author | Ritter, Tyson | |
dc.contributor.author | Wold, Erlend Fornæss | |
dc.date.accessioned | 2023-05-02T09:29:11Z | |
dc.date.available | 2023-05-02T09:29:11Z | |
dc.date.created | 2023-01-25T13:23:46Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Di Salvo, G. D., Ritter, T., & Fornæss Wold, E. (2023). Families of Proper Holomorphic Embeddings and Carleman-Type Theorem with parameters. The Journal of Geometric Analysis, 33(3), 75. | en_US |
dc.identifier.issn | 1050-6926 | |
dc.identifier.uri | https://hdl.handle.net/11250/3065709 | |
dc.description.abstract | We solve the problem of simultaneously embedding properly holomorphically into C2 a whole family of n-connected domains Omega_r in P1 such that none of the components of P1 \ Omega_r reduces to a point, by constructing a continuous mapping such that is a proper holomorphic embedding for every r. To this aim, a parametric version of both the Andersén–Lempert procedure and Carleman’s Theorem is formulated and proved. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Families of Proper Holomorphic Embeddings and Carleman-Type Theorem with parameters | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | The authors | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400 | en_US |
dc.source.pagenumber | 19 | en_US |
dc.source.volume | 33 | en_US |
dc.source.journal | Journal of Geometric Analysis | en_US |
dc.source.issue | 75 | en_US |
dc.identifier.doi | 10.1007/s12220-022-01110-y | |
dc.identifier.cristin | 2114729 | |
dc.relation.project | Universitetet i Oslo: University of Oslo | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |