Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-17T04:01:22.246Z Has data issue: false hasContentIssue false
  • English
  • Français

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: mazet@mathp6.jussieu.fr
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

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