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Lindelöf's theorem in ℂn

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Literature cited

  1. W. Rudin, Theory of Functions in the Unit Ball in ℂn [Russian translation], Mir, Moscow (1984).

    Google Scholar 

  2. S. G. Krantz, Function Theory of Several Complex Variables, Wiley, New York (1982).

    Google Scholar 

  3. J. A. Cima and S. G. Krantz, “The Lindelöf principle and normal functions of several complex variables,” Duke Math. J.,50, No. 1, 303–329 (1983).

    Google Scholar 

  4. P. V. Dovbush, “Lindelöf's theorem in ℂn,” Vestn. Mosk. Univ., Ser. Mat. Mekh., No. 6, 33–36 (1981).

    Google Scholar 

  5. W. C. Ramey, “Boundary behavior of bounded holomorphic functions along maximally complex submanifolds,” Am. J. Math.,106, No. 4, 974–1001 (1984).

    Google Scholar 

  6. E. M. Stein, Boundary Behavior of Holomorphic Functions of Several Complex Variables, Princeton Univ. Press (1972).

  7. H. H. Wu, “Normal families of holomorphic mappings,” Acta Math.,119, 193–233 (1967).

    Google Scholar 

  8. O. Lehto and K. I. Virtanen, “Boundary behavior and normal meromorphic functions,” Acta Math.,97, 47–65 (1957).

    Google Scholar 

  9. A. Korányi, “Harmonic functions of Hermitian hyperbolic space,” Trans. Am. Math. Soc.,135, 507–516 (1969).

    Google Scholar 

  10. E. M. Chirka, “Lindelöf's and Fatou's theorems in ℂn,” Mat. Sb.,92, NO. 4, 622–644 (1973).

    Google Scholar 

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Authors and Affiliations

  1. Center for the Automation of Scientific Research and Metrology, Academy of Sciences of the Moldavian SSR, Kishinev

    P. V. Dovbush

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  1. P. V. Dovbush
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 6, pp. 796–899, November–December, 1988.

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Dovbush, P.V. Lindelöf's theorem in ℂn . Ukr Math J 40, 673–676 (1988). https://doi.org/10.1007/BF01057192

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  • DOI: https://doi.org/10.1007/BF01057192

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