Yong Chan KIM and Toshiyuki SUGAWA

Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions


We introduce a kind of maximal operator associated with the Schwarz-Pick lemma. This will lead to a sharp norm estimate of the pre-Schwarzian derivatives of close-to-convex functions of specified type. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.

submission: April 15, 1999
revision: February 23, 2004

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