Yong Chan KIM and Toshiyuki SUGAWA
Norm estimates of the pre-Schwarzian derivatives for certain classes of
univalent functions
Abstract
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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