Skip to main content
Log in

Bounded holomorphic functions of several variables

  • Published:
Arkiv för Matematik

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. Ahern, P., Schneider, R., Isometries ofH .Duke Math. J. 42 (1975), 321–326.

    Article  MATH  MathSciNet  Google Scholar 

  2. Bedford, E., Fornaess, J. E., A construction of peak points on weakly pseudoconvex domains.Ann. of Math. 107 (1978), 555–568.

    Article  MathSciNet  Google Scholar 

  3. Berg, G., Hyperconvexity and the Carathéodory metric.Arch. Mat. (Basel),32 (1979), 189–191.

    MATH  Google Scholar 

  4. Bers, L.,Introduction to several complex variables. Courant Institute Lecture Notes, New York, 1964.

  5. Diedrich, K., Fornaess, J. E., Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions.Invent. Math. 39 (1977), 129–141.

    Article  MathSciNet  Google Scholar 

  6. Diederich, K., Fornaess, J. E., Pseudoconvex domains with real-analytic boundary.Ann. of Math. 107 (1978), 371–384.

    Article  MathSciNet  Google Scholar 

  7. Ermine, J.-L., Conjecture de Serre et espaces hyperconvexes.Lecture Notes in Mathematics 670, 124–139. Springer-Verlag (1978).

  8. Forster, O.,Riemannsche Flächen. Springer-Verlag, Berlin-Heidelberg-New York, 1977.

    MATH  Google Scholar 

  9. Grauert, H., Remmert, R., Plurisubharmonische Funktionen in komplexen Räumen.Math. Z. 65 (1956), 175–194.

    Article  MATH  MathSciNet  Google Scholar 

  10. Grauert, H., Remmert, R.,Theorie der Steinschen Räume. Springer-Verlag, Berlin-Heidelberg-New York, 1977.

    MATH  Google Scholar 

  11. Gunning, R., Rossi, H.,Analytic functions of several complex variables. Prentice-Hall, Englewood Cliffs, N.J., 1965.

    MATH  Google Scholar 

  12. Horstman, H., Carathéodorysche Metrik und Regularitätshüllen.Math. Ann. 108 (1933), 208–217.

    Article  MathSciNet  Google Scholar 

  13. Hörmander, L.,An introduction to complex analysis in several variables. Van Nostrand, Princeton, N.J., 1966.

    MATH  Google Scholar 

  14. Kobayashi, S.,Hyperbolic manifolds and holomorphic mappings. Marcel Dekker, New York, 1970.

    MATH  Google Scholar 

  15. Narasimhan, R., The Levi problem for complex spaces.Math. Ann. 142 (1961), 355–365.

    Article  MATH  MathSciNet  Google Scholar 

  16. Narasimhan, R., The Levi problem in the theory of functions of several complex variables.Proceedings of the International Congress of Mathematicians, 1962, Almqvist & Wiksell, Stockholm, 1963, 385–388.

    Google Scholar 

  17. Narasimhan, R., Cohomology with bounds on complex spaces.Lecture Notes in Mathematics 155, 141–150. Springer-Verlag (1970).

    Article  MathSciNet  Google Scholar 

  18. Narasimhan, R.,Several complex variables. The University of Chicago Press, Chicago and London, 1971.

    MATH  Google Scholar 

  19. Pflug, P., Polynomiale Funktionen auf Steinschen Gebiete in Steinschen Mannigfaltigkeiten.Arch. Math. (Basel)28 (1977), 169–172.

    Article  MATH  MathSciNet  Google Scholar 

  20. Schottenloher, M., Riemann domains: Basic results and open problems.Lecture Notes in Mathematics 364, 196–212. Springer-Verlag (1974).

    Article  MathSciNet  Google Scholar 

  21. Sibony, N., Prolongement des fonctions holomorphes bornées et metrique de Carathéodory.Invent. Math. 29 (1975), 205–230.

    Article  MATH  MathSciNet  Google Scholar 

  22. Siu, Y.-T., Pseudoconvexity and the problem of Levi.Bull. Amer. Math. Soc. 84 (1978), 481–512.

    Article  MATH  MathSciNet  Google Scholar 

  23. Stehlé, J.-L., Fonctions plurisousharmoniques et convexité holomorphe de certains fibrés analytiques.Lecture Notes in Mathematics 474, 155–179. Springer-Verlag (1975).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berg, G. Bounded holomorphic functions of several variables. Ark. Mat. 20, 249–270 (1982). https://doi.org/10.1007/BF02390511

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02390511

Keywords

Navigation