Włodarczyk, Kazimierz:
The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces (II teorema di Julia-Carathéodory per applicazioni contrattive in spazi iperbolici di dimensioni infinite)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 4 (1993), fasc. n.3, p. 171-179, (English)
pdf (837 Kb), djvu (204 Kb). | MR1250495 | Zbl 0817.46048
Sunto
Un classico risultato di Julia e Carathéodory, relativo a limiti radiali di funzioni olomorfe di una variabile, viene esteso alle contrazioni iperboliche in domini limitati simmetrici in algebra J*.
Referenze Bibliografiche
[4]
C. CARATHEODORY,
Conformal Representations.
Cambridge Tracts in Mathematics and Mathematical Physics, Cambridge
1952. |
MR 46435 |
Zbl 0047.07905[5]
E. CARTAN,
Sur les domaines bornés homogènes de l'espace de \( n \) variables complexes.
Abh. Math. Sem. Univ. Hamburg,
11,
1935, 116-162. |
Zbl 0011.12302[6]
G.-N. CHEN,
Iteration for holomorphic maps of the open unit ball and the generalized upper half plane of \( C^{n} \).
J. Math. Anal. Appl.,
98,
1984, 305-313. |
fulltext (doi) |
MR 730507 |
Zbl 0587.32008[7]
S. DINEEN,
The Schwarz Lemma.
Oxford Mathematical Monographs,
Clarendon Press, Oxford
1989. |
MR 1033739 |
Zbl 0708.46046[13]
T. FRANZONI -
E. VESENTINI,
Holomorphic Maps and Invariant Distance.
North Holland, Amsterdam
1980. |
MR 563329 |
Zbl 0447.46040[14]
L. A. HARRIS,
Bounded Symmetric Homogeneous Domains in Infinite Dimensional Spaces.
Lecture Notes in Mathematics, No.
364,
Springer-Verlag, Berlin-Heidelberg-New York
1974, 13-40. |
MR 407330 |
Zbl 0293.46049[15]
L. A. HARRIS,
Schwarz-Pick systems of pseudometrics for domains in normed linear spaces. In:
J. A. BARROSO (ed.),
Advances in Holomorphy.
North Holland, Amsterdam
1979, 345-406. |
MR 520667 |
Zbl 0409.46053[20]
E. VESENTINI,
Invariant distances and invariant differential metric in locally convex spaces. In:
Spectral Theory.
Polish Scientific Publishers, Warsaw
1982, 493-512. |
fulltext mini-dml |
MR 738313 |
Zbl 0505.32020[23]
K. WLODARCZYK,
Studies of iterations of holomorphic maps in J*-algebras and complex Hilbert spaces.
Quart. J. Math. Oxford,
37,
1986, 245-256. |
fulltext (doi) |
MR 841432 |
Zbl 0595.47046