The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces

Kazimierz Włodarczyk

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1993)

  • Volume: 4, Issue: 3, page 171-179
  • ISSN: 1120-6330

Abstract

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A classical Julia-Carathéodory theorem concerning radial limits of holomorphic maps in one dimension is extended to hyperbolic contractions of bounded symmetric domains in J*-algebras.

How to cite

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Włodarczyk, Kazimierz. "The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 4.3 (1993): 171-179. <http://eudml.org/doc/244109>.

@article{Włodarczyk1993,
abstract = {A classical Julia-Carathéodory theorem concerning radial limits of holomorphic maps in one dimension is extended to hyperbolic contractions of bounded symmetric domains in J*-algebras.},
author = {Włodarczyk, Kazimierz},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Infinite dimensional bounded symmetric homogeneous domains; Hyperbolic metrics; Distance-decreasing maps; Julia-Carathéodory theorem; /J*-algebras; hyperbolic metrics; distance-decreasing maps; radial limits of holomorphic maps; hyperbolic contractions of bounded symmetric domains in -algebras},
language = {eng},
month = {9},
number = {3},
pages = {171-179},
publisher = {Accademia Nazionale dei Lincei},
title = {The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces},
url = {http://eudml.org/doc/244109},
volume = {4},
year = {1993},
}

TY - JOUR
AU - Włodarczyk, Kazimierz
TI - The Julia-Carathéodory theorem for distance-decreasing maps on infinite dimensional hyperbolic spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1993/9//
PB - Accademia Nazionale dei Lincei
VL - 4
IS - 3
SP - 171
EP - 179
AB - A classical Julia-Carathéodory theorem concerning radial limits of holomorphic maps in one dimension is extended to hyperbolic contractions of bounded symmetric domains in J*-algebras.
LA - eng
KW - Infinite dimensional bounded symmetric homogeneous domains; Hyperbolic metrics; Distance-decreasing maps; Julia-Carathéodory theorem; /J*-algebras; hyperbolic metrics; distance-decreasing maps; radial limits of holomorphic maps; hyperbolic contractions of bounded symmetric domains in -algebras
UR - http://eudml.org/doc/244109
ER -

References

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