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

Yong Chan Kim; Toshiyuki Sugawa

doi:10.1017/S0013091504000306

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

Yong Chan Kim, Toshiyuki Sugawa

Research output: Contribution to journal › Article

23 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	131-143
Number of pages	13
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	49
Issue number	1
DOIs	https://doi.org/10.1017/S0013091504000306
Publication status	Published - 2006 Feb 1
Externally published	Yes

Keywords

Close-to-convex function
Pre-Schwarzian derivative
Uniformly locally univalent

ASJC Scopus subject areas

Mathematics(all)

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10.1017/S0013091504000306

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Kim, Y. C., & Sugawa, T. (2006). Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions. Proceedings of the Edinburgh Mathematical Society, 49(1), 131-143. https://doi.org/10.1017/S0013091504000306

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