Browsing by Author "Ma, William"

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    SCHWARZIAN NORMS AND TWO-POINT DISTORTION
    (2011) Chuaqui, Martin; Duren, Peter; Ma, William; Mejia, Diego; Minda, David; Osgood, Brad
    An 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.