Access the full text.
Sign up today, get DeepDyve free for 14 days.
Charles Bishop, Peter Jones (1994)
Harmonic measure,L2-estimates and the Schwarzian derivativeJournal d’Analyse Mathematique, 62
O. Lehto (1986)
Univalent functions and Teichm?uller space
J. Becker (1972)
Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1972
V. Bravo, R. Hernández, S. Ponnusamy, O. Venegas (2012)
Pre-Schwarzian and Schwarzian Derivatives of Harmonic MappingsThe Journal of Geometric Analysis, 25
C. Pommerenke (1992)
Boundary Behaviour of Conformal Maps
R. Fefferman, C. Kenig, J. Pipher (1991)
The theory of weights and the Dirichlet problem for elliptic equationsAnnals of Mathematics, 134
J. Garnett (2006)
Bounded Analytic Functions
P. Ghatage, Dechao Zheng (2004)
Hyperbolic derivatives and generalized Schwarz-Pick estimates, 132
P. Duren (2004)
Harmonic Mappings in the Plane
H. Lewy (1936)
On the non-vanishing of the Jacobian in certain one-to-one mappingsBulletin of the American Mathematical Society, 42
G. Cui, M. Zinsmeister (2004)
BMO-Teichmüller spacesIllinois Journal of Mathematics, 48
R. Hernández, María Martín (2014)
Criteria for univalence and quasiconformal extension of harmonic mappings in terms of the Schwarzian derivativeArchiv der Mathematik, 104
Yu-liang Shen, Huaying Wei (2013)
Universal Teichmüller space and BMOAdvances in Mathematics, 234
(1974)
Sufficient conditions for quasiconformal extension
Z. Nehari (1949)
The Schwarzian derivative and schlicht functionsBulletin of the American Mathematical Society, 55
K. Astala, M. Zinsmeister (1991)
Teichmüller spaces and BMOAMathematische Annalen, 289
S. Semmes (1988)
Quasiconformal mappings and chord-arc curvesTransactions of the American Mathematical Society, 306
E. Dyn’kin (1997)
Estimates for asymptotically conformal mappings.Annales Academiae Scientiarum Fennicae. Mathematica, 22
R. Hernández, María Martín (2013)
QUASICONFORMAL EXTENSION OF HARMONIC MAPPINGS IN THE PLANEAnnales Academiae Scientiarum Fennicae. Mathematica, 38
L. Ahlfors, G. Weill (1962)
A uniqueness theorem for Beltrami equations, 13
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
L. Ahlfors (1966)
Lectures on quasiconformal mappings
In terms of pre-Schwarzian and Schwarzian derivatives, we obtain some sufficient conditions to ensure that a sense-preserving locally univalent harmonic mapping f in the unit disk can be extended to a quasiconformal mapping in the complex plane so that its complex dilatation satisfies some Carleson measure conditions.
Computational Methods and Function Theory – Springer Journals
Published: Jul 15, 2020
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.