Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc
Автор: Polatoglu Yasar, Caglar Mert, Sen Arzu
Журнал: Владикавказский математический журнал @vmj-ru
Статья в выпуске: 2 т.8, 2006 года.
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Nehari norm of the Schwarzian derivative of an analytic function is closely related to its univalence. The famous Nehari--Kraus theorem [3, 4] and Ahlfors--Weill theorem [1] are of fundamental importance in this direction. For a non-constant meromorphic function f on D the unite disc, the Schwarzian derivative S_f of f by is holomorphic at z_0\in D if and only if f is locally univalent at z_0. The aim of this paper is to give sharp estimates of the Nehari norm for the subclasses of convex functions in the unit disc.
Короткий адрес: https://sciup.org/14318185
IDR: 14318185
Список литературы Inequalities for the Schwarzian derivative for subclasses of convex functions in the unit disc
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