Keywords
- Conformal Mapping
- Quasiconformal Mapping
- Quadratic Differential
- Extremal Mapping
- Affine Mapping
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
L. Ahlfors and G. Weill, A uniqueness theorem for Beltrami equations, Proc. Amer. Math. Soc. 13 (1962), 975–978.
Lars V. Ahlfors, Sufficient conditions for quasi-conformal extension, Proc. 1973 Conference on Discontinuous Groups and Riemann Surfaces, U. Maryland, Annals of Mathematics Studies 79, Princeton, 1974, 23–29.
Lipman Bers, Extremal quasiconformal mappings, Advances in the Theory of Riemann Surfaces, Proceedings of the 1969 Stony Brook Conference, Annals of Mathematics, Studies 66, Princeton, 1971, 27–52.
A. Beurling and L. Ahlfors, The boundary correspondence under quasiconformal mappings, Acta Math. 96 (1956), 125–142.
L. Bieberbach, Theorie der gewöhnlichen Differentialgleichungen, second edition, Springer Verlag, 1965.
Eugen Blum, Die Extremalität gewisser Teichmüllerscher Abbildungen des Einheitskreises, Comment. Math. Helv. 44 (1969), 319–340.
Lennart Carleson, The extension problem for quasiconformal mappings, Contributions to Analysis, A collection of Papers Dedicated to Lipman Bers, Academic Press, New York, pp. 39–47.
P. L. Duren and O. Lehto, Schwarzian derivatives and homeomorphic extensions, Ann. Acad. Sci. Fenn. A I. 477 (1970), 1–11.
R. S. Hamilton, Extremal quasiconformal mappings with prescribed boundary values, Trans. Amer. Math. Soc. 138 (1969), 399–406.
S. L. Krushkal’, Extremal quasiconformal mappings Sibirsk. Mat. Zh. 10 (1969), 573–583; Siberian Math. J. 10 (1969), 411–418.
O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane, second edition, Spriger Verlag, 1973.
Edgar Riech and Kurt Strebel, On the extremality of certain Teichmüller mappings, Comment. Math. Helv. 45 (1970), 353–362.
Edgar Reich, On extremality and unique extremality of affine mappings, Proc. Colloqu. on Mathematical Analysis, Jyväskylä 1970, 11 pp. Scheduled to appear in Lecture Notes in Mathematics, Springer Verlag.
Edgar Reich and Kurt Strebel, Extremal quasiconformal mappings with given boundary values, Contributions to Analysis, A Collection of Papers Dedicated to Lipman Bers, Academic Press, New York, 1974, pp. 375–391.
H. A. Schwarz, Ueber einige Abbildunsaufgaben, J. Reine Angew. Math. 70 (1869), 105–120.
Kurt Strebel, Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises, Comment. Math. Helv. 36 (1962), 306–323.
Kurt Strebel, Zur Frage der Eindeutigkeit extremaler quasikonformer Abbildungen des Einheitskreises II, Comment. Math. Helv. 39 (1964), 77–89.
Kurt Strebel, Uber quadratische Differentiale mit geschlossenen Trajektorien und extremale quasikonforme Abbildungen, Festband zum 70. Geburtstag von Rolf Nevalinna, Springer Verlag, 1966, 105–127.
Kurt Strebel, On the trajectory structure of quadratic differentials, Proc. 1973 Conference on Discontinuous Groups and Riemann Surfaces, U. Maryland, Annals of Mathematics Studies, 79, Princeton 1974, 419–438.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Reich, E. (1976). Quasiconformal mappings of the disk with given boundary values. In: Kirwan, W.E., Zalcman, L. (eds) Advances in Complex Function Theory. Lecture Notes in Mathematics, vol 505. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081102
Download citation
DOI: https://doi.org/10.1007/BFb0081102
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07548-6
Online ISBN: 978-3-540-38088-7
eBook Packages: Springer Book Archive
