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Principe du Maximum et Lemme de Schwarz a Valeurs Vectorielles

Published online by Cambridge University Press:  20 November 2018

Pierre Mazet
Pierre Mazet*
Affiliation:
C.N.R.S. U.M.R. 9994, Institut de Mathematiques, Université P. et M. Curie, Case Courrier 247, 4 Place Jussieu, F-75252 Paris Cedex 05, France, e-mail: [email protected]
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Abstract

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Keywords

Première: 30C80Seconde: 32A3046G2052A07Principe du maximumlemme de Schwarzpoints extrémaux
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 3 , 01 September 1997 , pp. 356 - 363
Copyright
Copyright © Canadian Mathematical Society 1997

References

[D] Dineen, S., The Schwarz Lemma, Oxford Math. Monographs, Clarendon Press, Oxford, 1989.Google Scholar
[Ha] Harris, L. A., Schwarz lemma in normed linear spaces, Proc.Nat. Acad. Sc.U.S.A. 62 (1969), 1014–1017.Google Scholar
[He] Hervé, M., Quelques propriétés des applications analytiques d’une boule àm dimensions dans elle-même, J. Math. Pures Appl. (9) 42 (1963), 117–147.Google Scholar
[MV1] Mazet, P. et Vigué, J.-P., Points fixes d’une application holomorphe d’un domaine borné dans lui-même, Acta Math. 166 (1991), 1–26.Google Scholar
[MV2] Mazet, P. et Vigué, J.-P., Convexité de la distance de Carathéodory et points fixes d’applications holomorphes, Bull. Sci. Math. (2) 116 (1992), 285–305.Google Scholar
[Re] Renaud, A., Quelques propriétés des applications analytiques d’une boule de dimension infinie dans une autre, Bull. Sci. Math. (2) 97 (1973), 129–159.Google Scholar
[Ru] Rudin, W., Function theory on the unit ball of Cn, Springer-Verlag, New York, 1980.Google Scholar
[TW] Thorp, E. and Whitley, R., The strong maximum modulus theorem for analytic function into Banach spaces, Proc. Amer. Math. Soc. 18 (1967), 640–646.Google Scholar
[Ve1] Vesentini, E., Complex geodesics, Compositio Math. 44 (1981), 375–394.Google Scholar
[Ve2] Vesentini, E., Complex geodesics and holomorphic mappings, Sympos. Math. 26 (1982), 211–230.Google Scholar
[Ve3] Vesentini, E., Invariant distances and invariant differential metrics in locally convex spaces. In: Spectral theory, Banach Center Publications, Warsaw, 8 (1982), 493–512.Google Scholar
[Vi1] Vigué, J.-P., Un lemme de Schwarz pour les domaines bornés symétriques irréductibles et certains domaines bornés strictement convexes, Indiana Univ. Math. J. 40 (1991), 293–304.Google Scholar
[Vi2] Vigué, J.-P., Le lemme de Schwarz et la caractérisation des automorphismes analytiques, Colloque d’analyse complexe et géométrie, Astérisque, 217 (1993), 241–249.Google Scholar
[Vi3] Vigué, J.-P., Un lemme de Schwarz pour les boules unités ouvertes, Canad.Math. Bull., à paraître.Google Scholar