manuscripta mathematica

, Volume 50, Issue 1, pp 1–10

Extension of proper holomorphic mappings past the boundary

  • Eric Bedford
  • Steve Bell
Article

Abstract

It is proved that proper holomorphic mappings between n-dimensional bounded pseudoconvex domains with real analytic boundaries extend holomorphically past the boundary whenever the target domain is strictly pseudoconvex.

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References

  1. 1.
    Bedford, E., Bell, S.: Boundary continuity of proper holomorphic correspondences, to appearGoogle Scholar
  2. 2.
    Bell, S.: Analytic hypoellipticity of the\(\bar \partial \)-Neumann problem and extendability of holomorphic mappings. Acta Math.147, 107–116 (1981)Google Scholar
  3. 3.
    Bell, S., Catlin, D.: Boundary regularity of proper holomorphic mappings. Duke Math. J.49, 385–396 (1982)Google Scholar
  4. 4.
    Diederich, K., Fornaess, J.: Boundary regularity of proper holomorphic mappings. Invent. Math.67, 363–384 (1982)Google Scholar
  5. 5.
    Diederich, K., Webster, S.: A reflection principle for degenerate real hypersurfaces. Duke Math. J.47, 835–843 (1980)Google Scholar
  6. 6.
    Han, C. K.: Analyticity of CR equivalences between some real hypersurfaces in ℂn with degenerate Levi forms. Invent. Math.73, 51–69 (1983)Google Scholar
  7. 7.
    Pinčuk, S.: On Analytic continuation of holomorphic mappings. Math. USSR Sbornik27, 375–392 (1975)Google Scholar
  8. 8.
    Webster, S.: On the mapping problem for algebraic real hypersurfaces. Invent. Math.43, 53–68 (1977)Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Eric Bedford
    • 1
  • Steve Bell
    • 2
  1. 1.Indiana universityBloomington
  2. 2.Princeton UniversityPrinceton

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