Mathematische Annalen

, Volume 244, Issue 1, pp 69–74 | Cite as

Non-vanishing of the Bergman kernel function at boundary points of certain domains in ℂ n

  • Steven R. Bell


Kernel Function Boundary Point Bergman Kernel Bergman Kernel Function 
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  1. 1.
    Bergman, S.: The kernel function and conformal mapping. A.M.S. Survey V, 2. ed. Providence 1970Google Scholar
  2. 2.
    Diederich, K., Fornaess, J.: Pseudoconvex domains with realanalytic boundary. Ann. of Math.107, 371–384 (1978)Google Scholar
  3. 3.
    Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math.26, 1–65 (1974)Google Scholar
  4. 4.
    Folland, G., Kohn, J.: The Neumann problem for the Cauchy-Riemann complex. Ann. of Math. Studies, No. 75. Princeton: University Press 1972Google Scholar
  5. 5.
    Hörmander, L.: The boundary behavior of the Bergman kernel. (unpublished manuscript)Google Scholar
  6. 6.
    Kerzman, N.: The Bergman kernel function. Differentiability at the boundary. Math. Ann.195, 149–158 (1972)Google Scholar
  7. 7.
    Kohn, J.: Sufficient conditions for subellipticity on weakly pseudoconvex domains. Proc. Nat. Acad. Sci. USA74, 2214–2216 (1977)Google Scholar
  8. 8.
    Webster, S.: Biholomorphic mappings and the Bergman kernel off the diagonal. PreprintGoogle Scholar
  9. 9.
    Ligocka, E.: Some remarks on extension of biholomorphic mappings. (to appear)Google Scholar
  10. 10.
    Ligocka, E.: How to prove Fefferman's theorem without use of differential geometry. Ann. Polish Math. (to appear)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Steven R. Bell
    • 1
  1. 1.Department of Mathematics 2-229Massachusetts Institute of TechnologyCambridgeUSA

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