Families of homomorphic mappings in the polydisk

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dc.contributor.authorChuaqui, Martin
dc.contributor.authorHernandez, Rodrigo
dc.date.accessioned2025-01-20T17:11:53Z
dc.date.available2025-01-20T17:11:53Z
dc.date.issued2024
dc.description.abstractWe study classes of locally biholomorphic mappings defined in the polydisk P-n that have bounded Schwarzian operator in the Bergman metric. We establish important properties of specific solutions of the associated system of differential equations, and show a geometric connection between the order of the classes and a covering property. We show for modified and slightly larger classes that the order is Lipschitz continuous with respect to the bound on the Schwarzian, and use this to estimate the order of the original classes.
dc.description.funderFONDECYT
dc.fuente.origenWOS
dc.identifier.doi10.1080/17476933.2023.2229749
dc.identifier.eissn1747-6941
dc.identifier.issn1747-6933
dc.identifier.urihttps://doi.org/10.1080/17476933.2023.2229749
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/91215
dc.identifier.wosidWOS:001026714000001
dc.issue.numero9
dc.language.isoen
dc.pagina.final1557
dc.pagina.inicio1537
dc.revistaComplex variables and elliptic equations
dc.rightsacceso restringido
dc.subjectSchwarzian operator
dc.subjectpolydisk
dc.subjectlocally biholomorphic
dc.subjectnorm
dc.subjectcovering
dc.titleFamilies of homomorphic mappings in the polydisk
dc.typeartículo
dc.volumen69
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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