Browsing by Author "Pommerenke, C"

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    Characteristic properties of Nehari functions
    (PACIFIC JOURNAL MATHEMATICS, 1999) Chuaqui, M; Pommerenke, C
    Let N be the set of all meromorphic functions f defined in the unit disc D that satisfy Nehari's univalence criterion (1 - \z\(2))(2)\Sf(z)\ less than or equal to 2. In this paper we investigate certain properties of the class N. We obtain sharp estimates for the spherical distortion, and also a two-point distortion theorem that actually characterizes the set N. Finally, we study some aspects of the boundary behavior of Nehari functions, and obtain results that indicate how such maps can fail to map D onto a quasidisc.
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    John domains, quasidisks, and the Nehari class
    (WALTER DE GRUYTER & CO, 1996) Chuaqui, M; Osgood, B; Pommerenke, C