On holomorphic maps between domains in C n

Giorgio Patrizio

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 2, page 267-279
  • ISSN: 0391-173X

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Patrizio, Giorgio. "On holomorphic maps between domains in $C^n$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.2 (1986): 267-279. <http://eudml.org/doc/83980>.

@article{Patrizio1986,
author = {Patrizio, Giorgio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {biholomorphic map; pseudoconvex complete circular domain; isometry of the Kobayashi distance; strictly convex domain},
language = {eng},
number = {2},
pages = {267-279},
publisher = {Scuola normale superiore},
title = {On holomorphic maps between domains in $C^n$},
url = {http://eudml.org/doc/83980},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Patrizio, Giorgio
TI - On holomorphic maps between domains in $C^n$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 2
SP - 267
EP - 279
LA - eng
KW - biholomorphic map; pseudoconvex complete circular domain; isometry of the Kobayashi distance; strictly convex domain
UR - http://eudml.org/doc/83980
ER -

References

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  2. [BKU] R. Braun - W. Kaup - H. Upmeier, On the automorphisms of circular and Reinhardt domains in complex Banach spaces, Manuseripta Math., 25 (1978), pp. 97-133. Zbl0398.32001MR500878
  3. [FV] T. Franzoni - E. Vesentini, Holomorphic maps and invariant distances, Math. Studies, 40, North Holland, Amsterdam, 1980. Zbl0447.46040MR563329
  4. [GW] I. Graham - H. Wu, Characterization of the unit ball Bn in complex Euclidean Space, Math. Z., 189 (1985), pp. 449-456. Zbl0547.32013MR786275
  5. [L] L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France, 109 (1981), pp. 427-474. Zbl0492.32025MR660145
  6. [L2] L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains, Anal. Math., 8 (1982), pp. 257-261. Zbl0509.32015MR690838
  7. [P] G. Patrizio, Parabolic exhaustions for strictly convex domains, Manuscripta Math., 47 (1984), pp. 271-309. Zbl0581.32018MR744324
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  9. [R] W. Rudin, Function theory in the unit ball in Cn, Grund. Math., 253, Springer Verlag, New York, 1980. Zbl0495.32001MR601594
  10. [RW] H. Royden - P.M. Wong, Carathéodory and Kobayashi metric in convex domains, preprint. 
  11. [S] A. Sadullaev, Schwarz lemma for circular domains and its applications, Math. Notes, 27 (1980), pp. 120-125. Zbl0448.32011MR568402
  12. [SPM] W. Stoll, A characterization of strictly parabolic manifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 7 (1980), pp. 81-154. Zbl0438.32005MR577327
  13. [St] C. Stanton, A characterization of the ball by its intrinsic metrics, Math. Ann., 264 (1983), pp. 271-275. Zbl0501.32002MR711883
  14. [V] E. Vesentini, Complex geodesics, Compositio Math., 44 (1981), pp. 375-394. Zbl0488.30015MR662466
  15. [Vi1] J.P. Vigué, Le group des automorphismes analitiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symmetriques, Ann. Sci. École Norm. Sup., 9 (1976), pp. 203-282. MR430335
  16. [Vi2] J.P. Vigué, Caractérisation des automorphismes analytiques d'un domaine convexe borné, C. R. Acad. Sc. Paris, 299 (1984), pp. 101-104. Zbl0589.32042MR756530

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