Skip to main content
Log in

Subordination chains and univalence of holomorphic mappings inC n

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Ahlfors, L. V.: Quasiconformal reflections. Acta Math.109, 291–301 (1963)

    Google Scholar 

  2. Ahlfors, L. V., Weill, G.: A uniqueness theorem for Beltrami equations. Proc. Amer. Math. Soc.13, 975–978 (1962)

    Google Scholar 

  3. Becker, J.: Löwnersche Differentialgleichung und quasikonform fortsetzbare schlichte Funktionen. J. Reine Angew. Math.255, 23–43 (1972)

    Google Scholar 

  4. Chua, L. O., Lam, Y.: Global homeomorphism of vector-valued functions. J. Math. Anal. and Appl.39, 600–624 (1972)

    Google Scholar 

  5. Duren, P. L., Shapiro, H. S., Shields, A. L.: Singular measures and domains not of Smirnov type. Duke Math. J.33, 247–254 (1966)

    Google Scholar 

  6. Gale, D., Nikaido, H.: The Jacobian matrix and global univalence of mappings. Math. Ann.159, 81–93 (1965)

    Google Scholar 

  7. Golusin, G. M.: Geometrische Funktionentheorie. Berlin: Deutscher Verlag der Wissenschaften 1957

    Google Scholar 

  8. Hayman, W. K.: Multivalent functions. Cambridge: Cambridge University Press 1958

    Google Scholar 

  9. Hille, E., Phillips, R. S.: Functional analysis and semigroups. Amer. Math. Soc. Colloq. Publ.31 (1957)

  10. Kato, T.: Nonlinear semigroups and evolution equations. J. Math. Soc. Japan19, 508–520 (1967)

    Google Scholar 

  11. Komura, Y.: Nonlinear semi-groups in Hilbert space. J. Math. Soc. Japan19, 493–507 (1967)

    Google Scholar 

  12. Ladas, G. E., Lakshmikantham, V.: Differential equations in abstract spaces. New York: Academic Press 1972

    Google Scholar 

  13. Löwner, K.: Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. Math. Ann.89, 103–121 (1923)

    Google Scholar 

  14. Nehari, Z.: The Schwarzian derivative and schlicht functions. Bull. Amer. Math. Soc.55, 545–551 (1949)

    Google Scholar 

  15. Pommerenke, Ch.: Über die Subordination analytischer Funktionen. J. Reine Angew. Math.218, 159–173 (1965)

    Google Scholar 

  16. Suffridge, T. J.: Starlike and convex maps in Banach spaces. Pacific J. Math.46, 575–589 (1973)

    Google Scholar 

  17. Takahashi, S.: Univalent mappings in several complex variables. Annals of Math.53, 464–471 (1951)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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

Reprints 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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01344545

Keywords

Navigation