Proper mappings between Reinhardt domains with an analytic variety on the boundary

M. Landucci; S. Pinchuk

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1995)

  • Volume: 22, Issue: 3, page 363-373
  • ISSN: 0391-173X

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Landucci, M., and Pinchuk, S.. "Proper mappings between Reinhardt domains with an analytic variety on the boundary." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.3 (1995): 363-373. <http://eudml.org/doc/84210>.

@article{Landucci1995,
author = {Landucci, M., Pinchuk, S.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Reinhardt domains; holomorphic proper mapping; analytic variety},
language = {eng},
number = {3},
pages = {363-373},
publisher = {Scuola normale superiore},
title = {Proper mappings between Reinhardt domains with an analytic variety on the boundary},
url = {http://eudml.org/doc/84210},
volume = {22},
year = {1995},
}

TY - JOUR
AU - Landucci, M.
AU - Pinchuk, S.
TI - Proper mappings between Reinhardt domains with an analytic variety on the boundary
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1995
PB - Scuola normale superiore
VL - 22
IS - 3
SP - 363
EP - 373
LA - eng
KW - Reinhardt domains; holomorphic proper mapping; analytic variety
UR - http://eudml.org/doc/84210
ER -

References

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  1. [1] H. Alexander, Proper holomorphic mappings in Cn. Indiana Univ. Math. J.26 (1977), 137-146. Zbl0391.32015MR422699
  2. [2] S. Bell, The Bergman kernel function and proper holomorphic mappings. Trans. Amer. Math. Soc.207-2 (1982), 685-691. Zbl0482.32007MR645338
  3. [3] G. Dini - A. Selvaggi, Proper holomorphic mappings between generalized pseudo-ellipsoids. Ann. Mat. Pura Appl.158 (1991), 219-229. Zbl0736.32002MR1131852
  4. [4] M. Landucci, On the proper equivalence for a class of pseudoconvex domains. Trans. Amer. Math. Soc.282 (1984), 807-811. Zbl0575.32026MR732122
  5. [5] M. Landucci, Holomorphic proper self-mappings: case of Reinhardt domains. To appear in Boll. Un. Mat. Ital. Zbl0808.32026MR1273187
  6. [6] M. Landucci - G. Patrizio, Proper holomorphic maps for Reinhardt domains which have a disc in their boundary. To appear in Compte Rendus Acad. Sc. Paris t. 317, Série I, (1993). Zbl0798.32025MR1246648
  7. [7] R. Narasimhan, Several complex variables. ChicagoLecture in Mathematics (1971). Zbl0223.32001MR342725
  8. [8] Y Pan, Proper holomorphic self-mappings of Reinhardt domains. Math. Z.208 (1991), 289-295. Zbl0727.32011MR1128711
  9. [9] W. Rudin, Function theory in polydiscs. Benjamin, New York (1969). Zbl0177.34101MR255841
  10. [10] W. Rudin, Function theory in unit ball of Cn. Grudlehren der mathematischen Wissenschaften241 (1980). Zbl0495.32001

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