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Proceedings of the Edinburgh Mathematical Society (1)

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NORM ESTIMATES OF THE PRE-SCHWARZIAN DERIVATIVES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS
Yong Chan Kim, Toshiyuki Sugawa
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Proceedings of the Edinburgh Mathematical Society / Volume 49 / Issue 1 / February 2006

Published online by Cambridge University Press:

02 February 2006, pp. 131-143
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A sharp norm estimate will be given to the pre-Schwarzian derivatives of close-to-convex functions of specified type. In order to show the sharpness, we introduce a kind of maximal operator which may be of independent interest. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.