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Admissible limits of normal holomorphic functions of several complex variables

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Literature cited

  1. A. Koranyi, “Harmonic functions on hermitian hyperbolic space,” Trans. Am. Math. Soc.,135, 507–516 (1969).

    Google Scholar 

  2. E. M. Stein, Boundary Behavior of Holomorphic Functions in Several Complex Variables, Princeton Univ. Press, Princeton, New York (1972).

    Google Scholar 

  3. E. M. Chirka, “Lindelöf and Fatou theorems in Cn,” Mat. Sb.,92, No. 4, 622–644 (1973).

    Google Scholar 

  4. P. V. Dovbush, “Normal functions of several complex variables,” Vestn. MGU, Ser. 1, Mat. Mekh., No. 1, 38–42 (1980).

    Google Scholar 

  5. P. V. Dovbush, “Boundary behavior of normal holomorphic functions of several complex variables,” Dokl. Akad. Nauk SSSR,263, No. 1, 14–17 (1982).

    Google Scholar 

  6. 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).

    Google Scholar 

  7. E. A. Poletskii and B. V. Shabat, “Invariant metrics,” Itogi Nauki Tekh. Ser. Sov. Probl. Mat. Fundam. Napravleniya,9, 73–127 (1986).

    Google Scholar 

  8. W. C. Ramey, “Boundary behavior of bounded holomorphic functions along maximally complex submanifolds,” Am. J. Math.,106, No. 4, 975–999 (1984).

    Google Scholar 

  9. O. Lexto and J. Virtanen, “Boundary behavior and normal meromorphic functions,” Acta Math.,97, No. 1–2, 47–65 (1957).

    Google Scholar 

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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.

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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

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