Approximation by proper holomorphic maps into convex domains

Avner Dor

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 1, page 147-162
  • ISSN: 0391-173X

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Dor, Avner. "Approximation by proper holomorphic maps into convex domains." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.1 (1993): 147-162. <http://eudml.org/doc/84141>.

@article{Dor1993,
author = {Dor, Avner},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {proper holomorphic maps; convex domain},
language = {eng},
number = {1},
pages = {147-162},
publisher = {Scuola normale superiore},
title = {Approximation by proper holomorphic maps into convex domains},
url = {http://eudml.org/doc/84141},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Dor, Avner
TI - Approximation by proper holomorphic maps into convex domains
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 1
SP - 147
EP - 162
LA - eng
KW - proper holomorphic maps; convex domain
UR - http://eudml.org/doc/84141
ER -

References

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  3. [D2] A. Dor, Lifting of proper holomorphic maps, preprint. 
  4. [D3] A. Dor, Continuous proper holomorphic maps into bounded domains, preprint. MR1162088
  5. [F1] F. Forstneri, Extending proper holomorphic mappings of positive co-dimension, Invent. Math., 95, No. 1, (1989), 31-61. Zbl0633.32017MR969413
  6. [F2] F. Forstneri, Embedding strictly pseudoconvex domains into balls, American Math. Soc., 295, (1986), 347-368. Zbl0594.32024MR831203
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  9. [H] M. Hakim, Applications holomorphes propres continues de domaines strictement pseudoconvexes de Cn dans la boule unité de Cn+1, Duke Math. J., 60, No.1, (1990), 115-133. Zbl0694.32010MR1047118
  10. [HS] M. Hakim - N. Sibony, Fonction holomorphes sur la boule unité de Cn, Invent. Math., 67, (1982), 213-222. Zbl0475.32007MR665153
  11. [K] S. Krantz, Function theory of several complex variables, John Wiley and Sons, 1982. Zbl0471.32008MR635928
  12. [L] E. Løw, A construction of inner functions on the unit ball in Cp, Invent. Math., 67, (1982), 223-229. Zbl0528.32006MR665154
  13. [N] A. Noell - B. Stensønes, Proper holomorphic maps from weakly pseudoconvex domains, preprint. Zbl0716.32017MR1047757
  14. [Ra] M. Range, Holomorphic functions and integral representations in several complex variables, Springer-Verlag, New York, 1986. Zbl0591.32002MR847923
  15. [Ru] W. Rudin, Function theory in the unit ball of Cn, Springer-Verlag, New York, 1980. Zbl0495.32001MR601594
  16. [S] B. Stensønes, Proper holomorphic mappings from strongly pseudoconvex domains in C2 to the unit polydisc in C3, Math. Scand., 65, (1989), 129-139. Zbl0706.32010MR1051829

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