Sur la caractérisation des isomorphismes analytiques entre domaines bornés d'un espace de Banach complexe

Jean-Pierre Vigué

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1994)

  • Volume: 21, Issue: 1, page 145-155
  • ISSN: 0391-173X

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Vigué, Jean-Pierre. "Sur la caractérisation des isomorphismes analytiques entre domaines bornés d'un espace de Banach complexe." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.1 (1994): 145-155. <http://eudml.org/doc/84167>.

@article{Vigué1994,
author = {Vigué, Jean-Pierre},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {integrated Carathéodory-metric; reflexive Banach space; Kobayashi-metric; analytic isomorphism; Carathéodory distance},
language = {fre},
number = {1},
pages = {145-155},
publisher = {Scuola normale superiore},
title = {Sur la caractérisation des isomorphismes analytiques entre domaines bornés d'un espace de Banach complexe},
url = {http://eudml.org/doc/84167},
volume = {21},
year = {1994},
}

TY - JOUR
AU - Vigué, Jean-Pierre
TI - Sur la caractérisation des isomorphismes analytiques entre domaines bornés d'un espace de Banach complexe
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1994
PB - Scuola normale superiore
VL - 21
IS - 1
SP - 145
EP - 155
LA - fre
KW - integrated Carathéodory-metric; reflexive Banach space; Kobayashi-metric; analytic isomorphism; Carathéodory distance
UR - http://eudml.org/doc/84167
ER -

References

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  1. [1] L. Belkhchicha, Caractérisation des isomorphismes analytiques de certains domaines bornés. C.R. Acad. Sci. Paris Sér. I Math.313 (1991), 281-284. Zbl0739.32026MR1126396
  2. [2] S. Dineen, The Schwarz Lemma. Oxford Math. Monographs, Clarendon Press, Oxford1989. Zbl0708.46046MR1033739
  3. [3] S. Dineen - R. Timoney - J.-P. Vigué, Pseudodistances invariantes sur les domaines d'un espace localement convexe. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 12 (1985), 515-529. Zbl0603.46052MR848840
  4. [4] T. Franzoni - E. Vesentini, Holomorphic maps and invariant distances. North-Holland Math. Studies40, 1980. Zbl0447.46040
  5. [5] I. Graham, Holomorphic mappings into strictly convex domains which are Kobayashi isometries at a point. Proc. Amer. Math. Soc.105 (1989), 917-921. Zbl0709.32016MR961406
  6. [6] L. Harris, Schwarz-Pick systems of pseudometrics for domains in normed linear spaces. In Advances in Holomorphy, Mathematical Studies 34, North-Holland, Amsterdam, 1979, 345-406. Zbl0409.46053MR520667
  7. [7] L. Harris - J.-P. Vigué, A metric condition for equivalence of domains. Atti Accad. Naz. Lincei (8) 67 (1979), 402-403. Zbl0472.46033MR625903
  8. [8] S. Kobayashi, Intrinsic distances, measures and geometric function theory. Bull. Amer. Math. Soc., 82 (1976), 357-416. Zbl0346.32031MR414940
  9. [9] L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains. Anal. Math., 8 (1982), 257-261. Zbl0509.32015MR690838
  10. [10] H. Royden - P. Wong, Carathéodory and Kobayashi metrics on convex domains. Preprint (1983). 
  11. [11] C. Stanton, A characterization of the polydisc. Math. Ann., 264 (1983), 271-275. Zbl0501.32002MR711883
  12. [12] S. Venturini, On holomorphic isometries for the Kobayashi and the Carathéodory distances on complex manifolds. Atti Accad. Naz. Lincei (8), à paraître. Zbl0741.32018
  13. [13] E. Vesentini, Complex geodesics. Compositio Math.44 (1981), 375-394. Zbl0488.30015MR662466
  14. [14] E. Vesentini, Complex geodesics and holomorphic mappings. Sympos. Math., 26 (1982), 211-230. Zbl0506.32008MR663034
  15. [15] E. Vesentini, Invariant distances and invariant differential metrics in locally convex spaces. In Spectral theory, Banach Center Publications, Warsaw, 8 (1982), 493-512. Zbl0505.32020MR738313
  16. [16] J.-P. Vigué, Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques. Ann. Sci. École Norm. Sup. (4) 9 (1976), 203-282. Zbl0333.32027
  17. [17] J.-P. Vigué, Caractérisation des automorphismes analytiques d'un domaine convexe borné. C.R. Acad. Sci. Paris Sér. I Math.299 (1984), 101-104. Zbl0589.32042
  18. [18] J.-P. Vigué, Sur la caractérisation des automorphismes analytiques d'un domaine borné. Portugal. Math., 43 (1986), 439-453. Zbl0628.32040
  19. [19] H. Wu, Normal families of holomorphic mappings. Acta Math.119 (1967), 194-233. Zbl0158.33301

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