Skip to main content
SpringerLink
Log in

Proper mappings between balls in Cn

  • Conference paper
  • First Online:
Complex Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1268))

  • 626 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Cima, J., Krantz, S.G. and Suffridge, T.: A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications. Math. Zeit. 186, 1–8 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  2. Cima, J. and Suffridge, T.: A reflection principle with applications to proper holomorphic mappings. Math. Ann. 265, 189–500 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  3. Faran, J.: Maps from the two-ball to the three-ball and maps taking lines to plane curves. Invent. Math. 68 441–475 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  4. Faran, J. J.: The linearity of proper holomorphic maps between balls in the low codimension case. Preprint.

    Google Scholar 

  5. Forstneric, F.: Embedding strictly pseudoconvex domains into balls. T.A.M.S., 295, 347–367 (1986).

    Article  MathSciNet  MATH  Google Scholar 

  6. Globevnik, J.: Boundary interpolation by proper holomorphic maps". Preprint.

    Google Scholar 

  7. Globevnik, J. and Stout, E.L.: Boundary regularity for holomorphic maps from the disc to the ball. Preprint.

    Google Scholar 

  8. Hakim, M. and Sibony, N.: Fonctions holomorphes bornees sur la boule unite de Cn. Invent. Math. 67, 213–222 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  9. Lempert, L.: Imbedding strictly pseudoconvex domains into balls. Amer. J. Math. 104, 901–904 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  10. Lewy, H.: On the boundary behavior of holomorphic mappings. Acad. Naz. Lincei 35, 1–8 (1977).

    Google Scholar 

  11. Low, E.: Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls. Preprint.

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  13. Whitney, H.: Singularities of smooth k manifolds in (2k-1) space. Annals of Math. 45, 220–247 (1944).

    Article  MathSciNet  Google Scholar 

Download references

Authors
  1. Joseph A. Cima
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ted Suffridge
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Steven G. Krantz

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Cima, J.A., Suffridge, T. (1987). Proper mappings between balls in Cn . In: Krantz, S.G. (eds) Complex Analysis. Lecture Notes in Mathematics, vol 1268. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097297

Download citation

  • DOI: https://doi.org/10.1007/BFb0097297

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18094-4

  • Online ISBN: 978-3-540-47752-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation