On the uniformization of Hartogs domains in $ℂ^2$ and their envelopes of holomorphy

• Autorzy: Ewa Ligocka
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 77
• Numer: 2
• Strony: 265-269

Daty

wydano

1998

otrzymano

1997-10-14

poprawiono

1997-12-29

Twórcy

autor

Ewa Ligocka

• Department of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2 02-097 Warszawa, Poland

Bibliografia

• [1] D. E. Barrett and J. E. Fornæss, Uniform approximation of holomorphic functions on bounded Hartogs domains in $ℂ^2$, Math. Z. 191 (1986), 61-72.
• [2] E. Casadio Tarabusi and S. Trapani, Envelopes of holomorphy of Hartogs and circular domains, Pacific J. Math. 149 (1991), 231-249.
• [3] K. Diederich and J. E. Fornæss, Pseudoconvex domains: an example with nontrivial Nebenhülle, Math. Ann. 225 (1977), 275-292.
• [4] R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, N.J., 1965.
• [5] B. Malgrange, Lectures on the Theory of Functions of Several Complex Variables, Tata Institute, Bombay, 1958 (reissued 1965).
• [6] R. Nevanlinna, Uniformisierung, Springer, 1953.
• [7] T. Ohsawa, A remark on the completeness of the Bergman metric, Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), 238-240.
• [8] M. Shirinbekov, Construction of envelopes of holomorphy for multiple Hartogs domains, Mat. Zametki 27 (1980), 77-87 (in Russian).
• [9] K. Stein, Überlagerungen holomorph-vollständiger komplexer Räume, Arch. Math. (Basel) 7 (1956), 354-361.
• [10] V. S. Vladimirov and M. Shirinbekov, On the construction of envelopes of holomorphy for Hartogs domains, Ukrain. Mat. Zh. 15 (1963), 189-192 (in Russian).