Skip to main content
SpringerLink
Log in

Weak convergence of the currents [ddcut]q and asymptotics of the order function for holomorphic mappings of regular growth

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. P. Griffiths and J. King, “Nevanlinna theory and holomorphic mappings between algebraic varieties,” Acta Math.,130, 145–220 (1973).

    Google Scholar 

  2. P. V. Degtyar', “Some problems of the theory of distributions of values of holomorphic mappings and complex variations,” Mat. Sb.,115, No. 2, 307–318 (1981).

    Google Scholar 

  3. A. V. Degtyar', “Asymptotic formulas for order functions and some of their applications,” Author's Abstract of Candidate's Dissertation, Tashkent (1981).

  4. B. J. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).

  5. V. S. Azarin, “On subharmonic functions of completely regular growth in multidimensional spaces,” Dokl. Akad. Nauk SSSR146, No. 4, 743–746 (1962).

    Google Scholar 

  6. V. S. Azarin, “On asymptotic behavior of subharmonic functions of finite order,” Mat. Sb.,108, No. 2, 147–167 (1979).

    Google Scholar 

  7. P. Lelong, Fonctions Plurisousharmoniques et Formes Differentielles Positives, Gordon and Breach, Paris-London-New York (1968).

    Google Scholar 

  8. R. Harvey, “Holomorphic chains and their boundaries,” in: Proceedings Symp. Pure Math., Vol. 30, Part I, Amer. Math. Soc., Providence, Rhode Island (1977), pp. 307–382.

    Google Scholar 

  9. H. Federer, Geometric Measure Theory, Springer-Verlag, New York (1969).

    Google Scholar 

  10. E. Bedford and B. A. Taylor, “The Dirichlet problem for a complex Monge-Ampere equation,” Invent. Math.,37, 1–44 (1976).

    Google Scholar 

  11. H. Whitney, Geometric Integration Theory, Princeton Univ. Press, Princeton, New Jersey (1957).

    Google Scholar 

  12. P. Z. Agranovich and L. I. Ronkin, “On functions of completely regular growth in several variables,” Ann. Pol. Math.,34, 239–254 (1981).

    Google Scholar 

  13. P. Z. Agranovich, “On functions of completely regular growth in several variables,” in: Function Theory, Functional Analysis, and Their Applications [in Russian], Vol. 30, Kharkov (1978), pp. 3–13.

Download references

Authors
  1. L. I. Ronkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 4, pp. 167–173, July–August, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ronkin, L.I. Weak convergence of the currents [ddcut]q and asymptotics of the order function for holomorphic mappings of regular growth. Sib Math J 25, 645–650 (1984). https://doi.org/10.1007/BF00968904

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968904

Keywords

Search

Navigation