SCHWARZIAN DERIVATIVES OF CONVEX MAPPINGS

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dc.contributor.authorChuaqui, Martin
dc.contributor.authorDuren, Peter
dc.contributor.authorOsgood, Brad
dc.date.accessioned2024-01-10T13:17:26Z
dc.date.available2024-01-10T13:17:26Z
dc.date.issued2011
dc.description.abstractA simple proof is given for Nehari's theorem that an analytic function f which maps the unit disk onto a convex region has Schwarzian norm parallel to f parallel to <= 2. The inequality in sharper form leads to the conclusion that no convex mapping with parallel to f parallel to = 2 can map onto a quasidisk. In particular, every bounded convex mapping has Schwarzian norm parallel to f parallel to < 2. The analysis involves a structural formula for the pre-Schwarzian of a convex mapping, which is studied in further detail.
dc.format.extent12 páginas
dc.fuente.origenWOS
dc.identifier.doi10.5186/aasfm.2011.3628
dc.identifier.eissn1798-2383
dc.identifier.issn1239-629X
dc.identifier.urihttps://doi.org/10.5186/aasfm.2011.3628
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78663
dc.identifier.wosidWOS:000295069400005
dc.information.autorucMatemática;Chuaqui M ;S/I;75421
dc.issue.numero2
dc.language.isoen
dc.nota.accesoSin adjunto
dc.pagina.final460
dc.pagina.inicio449
dc.publisherSUOMALAINEN TIEDEAKATEMIA
dc.revistaANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
dc.rightsregistro bibliográfico
dc.subjectConvex mapping
dc.subjectSchwarzian derivative
dc.subjectSchwarzian norm
dc.subjectunivalence
dc.subjectSchwarz lemma
dc.subjectSchwarz-Christoffel formula
dc.subjectquasidisk
dc.subjectJohn domain
dc.titleSCHWARZIAN DERIVATIVES OF CONVEX MAPPINGS
dc.typeartículo
dc.volumen36
sipa.codpersvinculados75421
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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