Sur les applications holomorphes isométriques pour la distance de Carathéodory

Jean-Pierre Vigué

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1982)

  • Volume: 9, Issue: 2, page 255-261
  • ISSN: 0391-173X

How to cite

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Vigué, Jean-Pierre. "Sur les applications holomorphes isométriques pour la distance de Carathéodory." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 9.2 (1982): 255-261. <http://eudml.org/doc/83881>.

@article{Vigué1982,
author = {Vigué, Jean-Pierre},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {infinitesimal Caratheodory metric; analytic automorphism; surjective isometry; complex Banach space},
language = {fre},
number = {2},
pages = {255-261},
publisher = {Scuola normale superiore},
title = {Sur les applications holomorphes isométriques pour la distance de Carathéodory},
url = {http://eudml.org/doc/83881},
volume = {9},
year = {1982},
}

TY - JOUR
AU - Vigué, Jean-Pierre
TI - Sur les applications holomorphes isométriques pour la distance de Carathéodory
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1982
PB - Scuola normale superiore
VL - 9
IS - 2
SP - 255
EP - 261
LA - fre
KW - infinitesimal Caratheodory metric; analytic automorphism; surjective isometry; complex Banach space
UR - http://eudml.org/doc/83881
ER -

References

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  1. [1] H. Cartan, Sur les fonctions de plusieurs variables complexes. L'itération des transformations intérieures d'un domaine borné, Math. Z, 35 (1932), pp. 760-773. Zbl0004.40602MR1545327JFM58.0349.02
  2. [2] T. Franzoni - E. Vesentini, Holomorphic maps and invariant distances, Mathematical studies no. 40, North-Holland, Amsterdam, 1980. Zbl0447.46040MR563329
  3. [3] L. Harris, A continuous form of Schwarz's lemma in normed linear spaces, Pacific J. of Math., 38 (1971), pp. 635-639. Zbl0199.18302MR305037
  4. [4] L. Harris, Schwarz-Pick systems of pseudometrics for domains in normed linear spaces in Advances in Holomorphy, pp. 345-406, Mathematical studies no. 34, North-Holland, Amsterdam, 1979. Zbl0409.46053MR520667
  5. [5] L. Harris - J.-P. Vigué, A. metric condition for equivalence of domains, Atti Accad. Naz. Lincei, 67 (1979), pp. 402-403. Zbl0472.46033MR625903

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