References
Ahern, P., Schneider, R., Isometries ofH ∞.Duke Math. J. 42 (1975), 321–326.
Bedford, E., Fornaess, J. E., A construction of peak points on weakly pseudoconvex domains.Ann. of Math. 107 (1978), 555–568.
Berg, G., Hyperconvexity and the Carathéodory metric.Arch. Mat. (Basel),32 (1979), 189–191.
Bers, L.,Introduction to several complex variables. Courant Institute Lecture Notes, New York, 1964.
Diedrich, K., Fornaess, J. E., Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions.Invent. Math. 39 (1977), 129–141.
Diederich, K., Fornaess, J. E., Pseudoconvex domains with real-analytic boundary.Ann. of Math. 107 (1978), 371–384.
Ermine, J.-L., Conjecture de Serre et espaces hyperconvexes.Lecture Notes in Mathematics 670, 124–139. Springer-Verlag (1978).
Forster, O.,Riemannsche Flächen. Springer-Verlag, Berlin-Heidelberg-New York, 1977.
Grauert, H., Remmert, R., Plurisubharmonische Funktionen in komplexen Räumen.Math. Z. 65 (1956), 175–194.
Grauert, H., Remmert, R.,Theorie der Steinschen Räume. Springer-Verlag, Berlin-Heidelberg-New York, 1977.
Gunning, R., Rossi, H.,Analytic functions of several complex variables. Prentice-Hall, Englewood Cliffs, N.J., 1965.
Horstman, H., Carathéodorysche Metrik und Regularitätshüllen.Math. Ann. 108 (1933), 208–217.
Hörmander, L.,An introduction to complex analysis in several variables. Van Nostrand, Princeton, N.J., 1966.
Kobayashi, S.,Hyperbolic manifolds and holomorphic mappings. Marcel Dekker, New York, 1970.
Narasimhan, R., The Levi problem for complex spaces.Math. Ann. 142 (1961), 355–365.
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.
Narasimhan, R., Cohomology with bounds on complex spaces.Lecture Notes in Mathematics 155, 141–150. Springer-Verlag (1970).
Narasimhan, R.,Several complex variables. The University of Chicago Press, Chicago and London, 1971.
Pflug, P., Polynomiale Funktionen auf Steinschen Gebiete in Steinschen Mannigfaltigkeiten.Arch. Math. (Basel)28 (1977), 169–172.
Schottenloher, M., Riemann domains: Basic results and open problems.Lecture Notes in Mathematics 364, 196–212. Springer-Verlag (1974).
Sibony, N., Prolongement des fonctions holomorphes bornées et metrique de Carathéodory.Invent. Math. 29 (1975), 205–230.
Siu, Y.-T., Pseudoconvexity and the problem of Levi.Bull. Amer. Math. Soc. 84 (1978), 481–512.
Stehlé, J.-L., Fonctions plurisousharmoniques et convexité holomorphe de certains fibrés analytiques.Lecture Notes in Mathematics 474, 155–179. Springer-Verlag (1975).
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02390511