Skip to main content
Log in

A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications

  • Published:
Mathematische Zeitschrift 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.

Institutional subscriptions

References

  1. Alexander, H.: Proper holomorphic mappings in ℂn. Indiana Univ. Math. J26, 137–146 (1977)

    Google Scholar 

  2. Bell, S., Catlin, D.: Proper holomorphic mappings extend smoothly to the boundary. Bull. Amer. Math. Soc.7, 269–272 (1982)

    Google Scholar 

  3. Cima, J., Suffridge, T.: A reflection principle with applications to proper holomorphic mappings. Math. Ann.265, 489–500 (1983)

    Google Scholar 

  4. Diederich, K., Fornaess, J.E.: Smooth extendability of proper holomorphic mappings. Bull. Amer. Math. Soc.7, 264–268 (1982)

    Google Scholar 

  5. Faran, J.: Maps from the two-ball to the three-ball and maps taking lines to plane curves. Preprint

  6. Fefferman, C.: The Bergman kernel and biholomorphic mapping of pseudoconvex domains. Invent. Math.26, 1–65 (1974)

    Google Scholar 

  7. Kerzman, N.: A Monge-Ampere equation in complex analysis. Proc. Sympos. Pure Math. XXX, vol. 1. Providence: Amer. Math. Soc. 1977

    Google Scholar 

  8. Krantz, S.G.: Function Theory of several complex variables. New York: Wiley and Sons 1982

    Google Scholar 

  9. Lewy, H.: On the boundary behavior of holomorphic mappings. Acad. Naz. Lincei35, 1–8 (1977)

    Google Scholar 

  10. Pincuk, S.: On the analytic continuations of holomorphic mappings. Mat. Sb.98, (140), 375–392 (1975) [Russian]; Engl. transl.: Math. U.S.S.R Sb27, 416–435 (1975)

    Google Scholar 

  11. Rudin, W.: Function theory in the unit ball of ℂn. Berlin-Heidelberg-New York: Springer 1980

    Google Scholar 

  12. Webster, S.: On mapping ann-ball into an (n+1)-ball in complex space. Pacific. J. Math.81, 267–272 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by a grant from the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cima, J.A., Krantz, S.G. & Suffridge, T.J. A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications. Math Z 186, 1–8 (1984). https://doi.org/10.1007/BF01215486

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01215486

Keywords

Navigation