Sharp Distortion Theorems Associated with the Schwarzian Derivative

Martin Chuaqui, Brad Osgood

Type: Article

Publication Date: 1993-10-01

Citations: 58

DOI: https://doi.org/10.1112/jlms/s2-48.2.289

View Publication

Locations

Journal of the London Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Sharp Distortion Estimate for Locally Schlicht Bloch Functions	1994	Hiroshi Yanagihara
+	Distortion Estimates for Bloch Functions	1991	Mario Bonk
+	The Schwarzian derivative and cross-ratio distortion	2008	Edson de Faria Welington de Melo
+	Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings	2018	Rodrigo Hernández Osvaldo Venegas
+	Cross-ratio distortion and Douady-Earle extension: I. A new upper bound on quasiconformality	2012	Jun Hu Oleg Muzician
+ PDF Chat	Sharp distortion theorems for quasiconformal mappings	1988	G. D. Anderson M. K. Vamanamurthy Матти Вуоринен
+	Bounded Schwarzian and Two-Point Distortion	2013	Weihong Ma Diego Mejía David Minda
+	Schwarzian derivative for convex mappings of order $$\alpha $$	2023	Pablo Carrasco Rodrigo Hernández
+	The Schwarzian Derivative	2021	Robert L. Devaney
+	The Schwarzian derivative	1989	E. Atlee Jackson
+	Schwarzian Derivative and Quasiconformal Mappings (擬等角写像とリーマン面)	1979	Olli Lehto
+	Schwarzian derivative and convexity of order $$\alpha$$	2022	Somya Malik V. Ravichandran
+ PDF Chat	Extremal mappings of finite distortion	2005	Kari Astala Tadeusz Iwaniec Gaven Martin Jani Onninen
+ PDF Chat	The Schwarzian Derivative and Convex Functions	1955	Richard F. Gabriel
+	Symmetric Distortion in ℓ 2	1995	B. Maurey
+ PDF Chat	Schwarzian derivative for convex mappings of order $\alpha$	2023	Pablo Carrasco Rodrigo Hernández
+	Tauberian Estimates	1977	I. J. Maddox
+	Charles Leudesdorf	1925	E. B. E.
+	Weak Schwarzians, bounded hyperbolic distortion, and smooth quasisymmetric functions	1996	Martin Chuaqui Brad Osgood
+	GEOMETRIC FUNCTION THEORY AND NON-LINEAR ANALYSIS (Oxford Mathematical Monographs)	2002	Pekka Koskela

Works That Cite This (52)

Action	Title	Year	Authors
+	An extension of a theorem of Gehring and Pommerenke	1995	Martin Chuaqui Brad Osgood
+	Two-point distortion theorems and the Schwarzian derivatives of meromorphic functions	2018	В. Н. Дубинин
+	Schwarzian derivative for convex mappings of order $$\alpha $$	2023	Pablo Carrasco Rodrigo Hernández
+ PDF Chat	On spherically convex univalent functions.	2000	Diego Mejía Ch. Pommerenke
+	A nonlinear extremal problem for Bloch functions with applications to geometric function theory	2003	Oliver Roth
+ PDF Chat	Schwarzian norms and two-point distortion	2011	Martin Chuaqui Peter Duren William Ma Diego Mejía David Minda Brad Osgood
+ PDF Chat	Growth and Coefficient Estimates for Uniformly Locally Univalent Functions on the Unit Disk	2002	Yong Chang Kim Toshiyuki Sugawa
+	Schwarzian derivatives of convex mappings	2011	Martin Chuaqui Peter Duren Brad Osgood
+ PDF Chat	A unified approach to univalence criteria in the unit disc	1995	Martin Chuaqui
+ PDF Chat	Schwarzian derivatives and a linearly invariant family in ℂ<sup>n</sup>	2006	Rodrigo Hernández

Works Cited by This (9)

Action	Title	Year	Authors
+	Univalent Functions and Teichmüller Spaces	1987	Olli Lehto
+	Linear-invariante Familien analytischer Funktionen II	1964	Christian Pommerenke
+	The Schwarzian derivative and conformally natural quasiconformal extensions from one to two to three dimensions	1992	Martin Chuaqui Brad Osgood
+	Quasiconformal circles and Lipschitz classes	1980	Raimo Näkki Bruce Palka
+ PDF Chat	Positive Superharmonic Functions and the Hölder Continuity of Conformal Mappings	1989	J. M. Anderson A. Hinkkanen
+	On the Nehari univalence criterion and quasicircles	1984	F. W. Gehring Ch. Pommerenke
+	The Schwarzian derivative and estimates of functions analytic in the unit disc	1975	Matts Essén F. R. Keogh
+	A generalization of Nehari's univalence criterion	1990	Brad Osgood Dennis Stowe
+	On some extensions of a theorem of Hardy and Littlewood	1982	Hans Stegbuchner