On the uniformization of Hartogs domains in 2 and their envelopes of holomorphy
Ligocka, Ewa
Colloquium Mathematicae, Tome 78 (1998), p. 265-269 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:210589
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     author = {Ewa Ligocka},
     title = {On the uniformization of Hartogs domains in $$\mathbb{C}$^2$ and their envelopes of holomorphy},
     journal = {Colloquium Mathematicae},
     volume = {78},
     year = {1998},
     pages = {265-269},
     zbl = {0923.32010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv77z2p265bwm}
}
Ligocka, Ewa. On the uniformization of Hartogs domains in $ℂ^2$ and their envelopes of holomorphy. Colloquium Mathematicae, Tome 78 (1998) pp. 265-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv77z2p265bwm/

[000] [1] D. E. Barrett and J. E. Fornæss, Uniform approximation of holomorphic functions on bounded Hartogs domains in 2, Math. Z. 191 (1986), 61-72. | Zbl 0581.32021

[001] [2] E. Casadio Tarabusi and S. Trapani, Envelopes of holomorphy of Hartogs and circular domains, Pacific J. Math. 149 (1991), 231-249. | Zbl 0685.32008

[002] [3] K. Diederich and J. E. Fornæss, Pseudoconvex domains: an example with nontrivial Nebenhülle, Math. Ann. 225 (1977), 275-292. | Zbl 0327.32008

[003] [4] R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, N.J., 1965. | Zbl 0141.08601

[004] [5] B. Malgrange, Lectures on the Theory of Functions of Several Complex Variables, Tata Institute, Bombay, 1958 (reissued 1965).

[005] [6] R. Nevanlinna, Uniformisierung, Springer, 1953.

[006] [7] T. Ohsawa, A remark on the completeness of the Bergman metric, Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), 238-240. | Zbl 0508.32008

[007] [8] M. Shirinbekov, Construction of envelopes of holomorphy for multiple Hartogs domains, Mat. Zametki 27 (1980), 77-87 (in Russian). | Zbl 0426.32006

[008] [9] K. Stein, Überlagerungen holomorph-vollständiger komplexer Räume, Arch. Math. (Basel) 7 (1956), 354-361. | Zbl 0072.08002

[009] [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).