Inequalities on the inner radius of univalency and the norm of pre-Schwarzian derivative

Tao Cheng; Yue Ming Kang; Ji Xiu Chen

doi:10.1007/s10114-008-6519-3

Inequalities on the inner radius of univalency and the norm of pre-Schwarzian derivative

Tao Cheng^*
, Yue Ming Kang
, Ji Xiu Chen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we get a lower bound of inner radius of univalency of Schwarzian derivative by means of the norm of pre-Schwarzian derivative. Furthermore, we apply the theory of Universal Teichmuller Space to explain its geometric meaning which shows the relationship between the inner radius in Universal Teichmuller Space embedded by Schwarzian derivative and the norm defined in Universal Teichmuller Space embedded by pre-Schwarzian derivative.

Original language	English
Pages (from-to)	59-64
Number of pages	6
Journal	Acta Mathematica Sinica, English Series
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s10114-008-6519-3
State	Published - Jan 2009
Externally published	Yes

Keywords

Inner radius of univalency
Pre-Schwarzian derivative
Universal Teichmuller Space

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10.1007/s10114-008-6519-3

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abstract = "In this paper, we get a lower bound of inner radius of univalency of Schwarzian derivative by means of the norm of pre-Schwarzian derivative. Furthermore, we apply the theory of Universal Teichmuller Space to explain its geometric meaning which shows the relationship between the inner radius in Universal Teichmuller Space embedded by Schwarzian derivative and the norm defined in Universal Teichmuller Space embedded by pre-Schwarzian derivative.",

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KW - Pre-Schwarzian derivative

KW - Universal Teichmuller Space

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Inequalities on the inner radius of univalency and the norm of pre-Schwarzian derivative

Abstract

Keywords

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