Schwarzian Derivatives and Uniform Local Univalence

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dc.creatorChuaqui, Martin
dc.creatorDuren, Peter
dc.creatorOsgood, Brad
dc.date2007-06-28
dc.date2007-07-16
dc.date.accessioned2026-07-07T08:17:28Z
dc.date.available2026-07-07T08:17:28Z
dc.descriptionQuantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic metric if and only if it has finite Schwarzian norm, thus generalizing a result of B. Schwarz for analytic functions. A numerical bound is obtained for the Schwarzian norms of univalent harmonic mappings.
dc.identifierhttps://arxiv.org/abs/0706.4296
dc.identifierhttp://arxiv.org/abs/0706.4296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134104
dc.subjectComplex Variables
dc.subject30C99, 31A05, 30C55
dc.titleSchwarzian Derivatives and Uniform Local Univalence
dc.typetext

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