Skip to main content
SpringerLink
Log in

Boundary behavior of the linear part of a holomorphic mapping

  • 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. R. Hermann, “Convexity and pseudoconvexity for complex manifolds. II,” J. Math. Mech.,13, No. 6, 1065–1070 (1964).

    Google Scholar 

  2. A. E. Tumanov, “On boundary values of holomorphic functions of several complex variables,” Usp. Mat. Nauk,29, No. 4, 158–159 (1974).

    Google Scholar 

  3. S. I. Pinchuk, “Boundary theory of uniqueness for holomorphic functions of several complex variables,” Mat. Zametki,15, No. 2, 205–212 (1974).

    Google Scholar 

  4. G. M. Khenkin and E. M. Chirka, “Boundary value properties of holomorphic functions of several complex variables,” in: Modern Problems of Mathematics (Progress in Science and Technology), VINITI,4, 13–142, Moscow (1975).

  5. A. Sadullaev, “A uniqueness boundary theorem in Cn,” Mat. Sb.,101, No. 4, 568–583 (1976).

    Google Scholar 

  6. S. M. Webster, “On the reflection principle in several complex variables,” Proc. Am. Math. Soc.,71, No. 1, 26–28 (1978).

    Google Scholar 

  7. Yu. V. Khurumov, “Existence of limiting values and a boundary theorem of uniqueness for functions meromorphic in a wedge in Cn” (Preprint, Academy of Sciences of the USSR, Siberain Branch, IF; No. 20M), Krasnoyarsk (1982).

  8. R. L. Bishop and R. J. Crittenden, Geometry of Manifolds, Academic Press, New York-London (1964).

    Google Scholar 

  9. H. Cartan, Calcul differential, Herrmann, Paris (1967); H. Cartan, Formes differentielles, Herrmann, Paris (1967).

    Google Scholar 

  10. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable, Amer. Math. Soc. Transl. No. 26, Providence (1969).

  11. N. Sibony, “Valeurs au bord de fonctions holomorphes et ensembles polynomialement convexes,” in: Seminaire Pierre Lelong (Analyse) Annee 1975/76 (Ser. Lect. Notes Math., No. 578), 300–313, Berlin (1977).

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

    Google Scholar 

  13. A. E. Tumanov, “Interpolational sets and uniqueness sets for boundary values of holomorphic fuctions of several variables,” Candidate's Dissertation, MISI, Moscow (1979).

    Google Scholar 

  14. A. B. Aleksandrov, “On boundary values of functions holomorphic in a ball,” Dokl. Akad. Nauk SSSR,271, No. 4, 777–779 (1983).

    Google Scholar 

  15. E. M. Stein, “Singular integrals and estimates for the Cauchy-Riemann equations,” Bull. Am. Math. Soc.,79, No. 2, 440–445 (1973).

    Google Scholar 

  16. P. C. Greiner and E. M. Stein, Estimates for the\(\bar \partial \)-Neumann Problem, Princeton Univ. Press (1977).

  17. W. Rudin, “Holomorphic Lipschitz functions in balls,” Comment. Math. Helvetici,53, 143–147 (1978).

    Google Scholar 

Download references

Authors
  1. Yu. V. Khurumov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 27, No. 4, pp. 144–151, July–August, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khurumov, Y.V. Boundary behavior of the linear part of a holomorphic mapping. Sib Math J 27, 585–591 (1986). https://doi.org/10.1007/BF00969171

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00969171

Keywords

Search

Navigation