Literature cited
A. Koranyi, “Harmonic functions on hermitian hyperbolic space,” Trans. Am. Math. Soc.,135, 507–516 (1969).
E. M. Stein, Boundary Behavior of Holomorphic Functions in Several Complex Variables, Princeton Univ. Press, Princeton, New York (1972).
E. M. Chirka, “Lindelöf and Fatou theorems in Cn,” Mat. Sb.,92, No. 4, 622–644 (1973).
P. V. Dovbush, “Normal functions of several complex variables,” Vestn. MGU, Ser. 1, Mat. Mekh., No. 1, 38–42 (1980).
P. V. Dovbush, “Boundary behavior of normal holomorphic functions of several complex variables,” Dokl. Akad. Nauk SSSR,263, No. 1, 14–17 (1982).
J. A. Cima and S. G. Krautz, “The Lindelöf principle and normal functions of several complex variables,” Duke Math. J.,50, No. 1, 303–328 (1983).
E. A. Poletskii and B. V. Shabat, “Invariant metrics,” Itogi Nauki Tekh. Ser. Sov. Probl. Mat. Fundam. Napravleniya,9, 73–127 (1986).
W. C. Ramey, “Boundary behavior of bounded holomorphic functions along maximally complex submanifolds,” Am. J. Math.,106, No. 4, 975–999 (1984).
O. Lexto and J. Virtanen, “Boundary behavior and normal meromorphic functions,” Acta Math.,97, No. 1–2, 47–65 (1957).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 47, No. 5, pp. 39–44, May, 1990.
The author thanks E. M. Chirka for helpful discussions of the results of this paper.
Rights and permissions
About this article
Cite this article
Dovbush, P.V. Admissible limits of normal holomorphic functions of several complex variables. Mathematical Notes of the Academy of Sciences of the USSR 47, 449–453 (1990). https://doi.org/10.1007/BF01158086
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158086