References
Ahlfors, L. V.: Quasiconformal reflections. Acta Math.109, 291–301 (1963)
Ahlfors, L. V., Weill, G.: A uniqueness theorem for Beltrami equations. Proc. Amer. Math. Soc.13, 975–978 (1962)
Becker, J.: Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen. J. Reine Angew. Math.255, 23–43 (1972)
Chua, L. O., Lam, Y.: Global homeomorphism of vector-valued functions. J. Math. Anal. and Appl.39, 600–624 (1972)
Duren, P. L., Shapiro, H. S., Shields, A. L.: Singular measures and domains not of Smirnov type. Duke Math. J.33, 247–254 (1966)
Gale, D., Nikaido, H.: The Jacobian matrix and global univalence of mappings. Math. Ann.159, 81–93 (1965)
Golusin, G. M.: Geometrische Funktionentheorie. Berlin: Deutscher Verlag der Wissenschaften 1957
Hayman, W. K.: Multivalent functions. Cambridge: Cambridge University Press 1958
Hille, E., Phillips, R. S.: Functional analysis and semigroups. Amer. Math. Soc. Colloq. Publ.31 (1957)
Kato, T.: Nonlinear semigroups and evolution equations. J. Math. Soc. Japan19, 508–520 (1967)
Komura, Y.: Nonlinear semi-groups in Hilbert space. J. Math. Soc. Japan19, 493–507 (1967)
Ladas, G. E., Lakshmikantham, V.: Differential equations in abstract spaces. New York: Academic Press 1972
Löwner, K.: Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. Math. Ann.89, 103–121 (1923)
Nehari, Z.: The Schwarzian derivative and schlicht functions. Bull. Amer. Math. Soc.55, 545–551 (1949)
Pommerenke, Ch.: Über die Subordination analytischer Funktionen. J. Reine Angew. Math.218, 159–173 (1965)
Suffridge, T. J.: Starlike and convex maps in Banach spaces. Pacific J. Math.46, 575–589 (1973)
Takahashi, S.: Univalent mappings in several complex variables. Annals of Math.53, 464–471 (1951)
Author information
Authors and Affiliations
Additional information
This research was partially supported by the U.S. Army Research Office-Durham, Grant DA-ARO-D-31-124-72-G182E.
Rights and permissions
About this article
Cite this article
Pfaltzgraff, J.A. Subordination chains and univalence of holomorphic mappings inC n . Math. Ann. 210, 55–68 (1974). https://doi.org/10.1007/BF01344545
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01344545