Schwarzian derivative criteria for valence of analytic and harmonic mappings

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dc.contributor.authorChuaqui, Martin
dc.contributor.authorDuren, Peter
dc.contributor.authorOsgood, Brad
dc.date.accessioned2025-01-21T01:05:25Z
dc.date.available2025-01-21T01:05:25Z
dc.date.issued2007
dc.description.abstractFor analytic functions in the unit disk, general bounds on the Schwarzian derivative in terms of Nehari functions are shown to imply uniform local univalence and in some cases finite and bounded valence. Similar results are obtained for the Weierstrass-Enneper lifts of planar harmonic mappings to their associated minimal surfaces. Finally, certain classes of harmonic mappings are shown to have finite Schwarzian norm.
dc.fuente.origenWOS
dc.identifier.doi10.1017/S0305004107000394
dc.identifier.eissn1469-8064
dc.identifier.issn0305-0041
dc.identifier.urihttps://doi.org/10.1017/S0305004107000394
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95914
dc.identifier.wosidWOS:000251403400017
dc.language.isoen
dc.pagina.final486
dc.pagina.inicio473
dc.revistaMathematical proceedings of the cambridge philosophical society
dc.rightsacceso restringido
dc.titleSchwarzian derivative criteria for valence of analytic and harmonic mappings
dc.typeartículo
dc.volumen143
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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