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

Ewa Ligocka

Colloquium Mathematicae (1998)

  • Volume: 77, Issue: 2, page 265-269
  • ISSN: 0010-1354

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Ligocka, Ewa. "On the uniformization of Hartogs domains in $ℂ^2$ and their envelopes of holomorphy." Colloquium Mathematicae 77.2 (1998): 265-269. <http://eudml.org/doc/210589>.

@article{Ligocka1998,
author = {Ligocka, Ewa},
journal = {Colloquium Mathematicae},
keywords = {Hartogs domain; envelope of holomorphy},
language = {eng},
number = {2},
pages = {265-269},
title = {On the uniformization of Hartogs domains in $ℂ^2$ and their envelopes of holomorphy},
url = {http://eudml.org/doc/210589},
volume = {77},
year = {1998},
}

TY - JOUR
AU - Ligocka, Ewa
TI - On the uniformization of Hartogs domains in $ℂ^2$ and their envelopes of holomorphy
JO - Colloquium Mathematicae
PY - 1998
VL - 77
IS - 2
SP - 265
EP - 269
LA - eng
KW - Hartogs domain; envelope of holomorphy
UR - http://eudml.org/doc/210589
ER -

References

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  1. [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. Zbl0581.32021
  2. [2] E. Casadio Tarabusi and S. Trapani, Envelopes of holomorphy of Hartogs and circular domains, Pacific J. Math. 149 (1991), 231-249. Zbl0685.32008
  3. [3] K. Diederich and J. E. Fornæss, Pseudoconvex domains: an example with nontrivial Nebenhülle, Math. Ann. 225 (1977), 275-292. Zbl0327.32008
  4. [4] R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, N.J., 1965. Zbl0141.08601
  5. [5] B. Malgrange, Lectures on the Theory of Functions of Several Complex Variables, Tata Institute, Bombay, 1958 (reissued 1965). 
  6. [6] R. Nevanlinna, Uniformisierung, Springer, 1953. 
  7. [7] T. Ohsawa, A remark on the completeness of the Bergman metric, Proc. Japan Acad. Ser. A Math. Sci. 57 (1981), 238-240. Zbl0508.32008
  8. [8] M. Shirinbekov, Construction of envelopes of holomorphy for multiple Hartogs domains, Mat. Zametki 27 (1980), 77-87 (in Russian). Zbl0426.32006
  9. [9] K. Stein, Überlagerungen holomorph-vollständiger komplexer Räume, Arch. Math. (Basel) 7 (1956), 354-361. Zbl0072.08002
  10. [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). 

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