SCHWARZIAN NORMS AND TWO-POINT DISTORTION

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dc.contributor.authorChuaqui, Martin
dc.contributor.authorDuren, Peter
dc.contributor.authorMa, William
dc.contributor.authorMejia, Diego
dc.contributor.authorMinda, David
dc.contributor.authorOsgood, Brad
dc.date.accessioned2025-01-20T23:58:57Z
dc.date.available2025-01-20T23:58:57Z
dc.date.issued2011
dc.description.abstractAn analytic function f with Schwarzian norm parallel to gf parallel to <= 2(1 + delta(2)) is shown to satisfy a pair of two-point distortion conditions, one giving a lower bound and the other an upper bound for the deviation. Conversely, each of these conditions is found to imply that parallel to gf parallel to <= 2(1 + delta(2)). Analogues of the lower bound are also developed for curves in R-n and for canonical lifts of harmonic mappings to minimal surfaces.
dc.fuente.origenWOS
dc.identifier.issn0030-8730
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/95272
dc.identifier.wosidWOS:000301281400007
dc.issue.numero1
dc.language.isoen
dc.pagina.final116
dc.pagina.inicio101
dc.revistaPacific journal of mathematics
dc.rightsacceso restringido
dc.subjectunivalent function
dc.subjectSchwarzian derivative
dc.subjectSchwarzian norm
dc.subjecthyperbolic metric
dc.subjecttwo-point distortion
dc.subjectharmonic mapping
dc.subjectminimal surface
dc.titleSCHWARZIAN NORMS AND TWO-POINT DISTORTION
dc.typeartículo
dc.volumen254
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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