On fixed points of holomorphic maps of simply connected proper domains in C

Roberto Tauraso

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1994)

  • Volume: 5, Issue: 2, page 197-202
  • ISSN: 1120-6330

Abstract

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A criterion for the existence of fixed point of one-dimensional holomorphic maps is established.

How to cite

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Tauraso, Roberto. "On fixed points of holomorphic maps of simply connected proper domains in \( C \)." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 5.2 (1994): 197-202. <http://eudml.org/doc/244250>.

@article{Tauraso1994,
abstract = {A criterion for the existence of fixed point of one-dimensional holomorphic maps is established.},
author = {Tauraso, Roberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Fixed point; Holomorphic map; Wolff point; fixed point; holomorphic map},
language = {eng},
month = {6},
number = {2},
pages = {197-202},
publisher = {Accademia Nazionale dei Lincei},
title = {On fixed points of holomorphic maps of simply connected proper domains in \( C \)},
url = {http://eudml.org/doc/244250},
volume = {5},
year = {1994},
}

TY - JOUR
AU - Tauraso, Roberto
TI - On fixed points of holomorphic maps of simply connected proper domains in \( C \)
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1994/6//
PB - Accademia Nazionale dei Lincei
VL - 5
IS - 2
SP - 197
EP - 202
AB - A criterion for the existence of fixed point of one-dimensional holomorphic maps is established.
LA - eng
KW - Fixed point; Holomorphic map; Wolff point; fixed point; holomorphic map
UR - http://eudml.org/doc/244250
ER -

References

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  1. ABATE, M., Iteration Theory of Holomorphic Maps on Taut Manifolds. Mediterranean Press, Commenda di Rende1989. Zbl0747.32002MR1098711
  2. AHERN, P. R. - CLARK, D. N., On inner functions with H p -derivative. Michigan Math. J., vol. 21, 1974, 115-127. Zbl0277.30027MR344479
  3. CARATHÉODORY, C., Theory of functions of a Complex Variable. Vol. II, Chelsea Publ. Co., New York1954. Zbl0056.06703
  4. FRANZONI, T. - VESENTINI, E., Holomorphic Maps and Invariant Distances. North-Holland, Amsterdam1980. Zbl0447.46040MR563329
  5. GARNETT, J. B., Bounded Analytic Functions. Academic Press, New York1981. Zbl1106.30001MR628971
  6. GOEBEL, K., Fixed points and invariant domains of holomorphic mappings of the Hilbert ball. Nonlinear Analysis, vol. 12, 1982, 1327-1334. Zbl0525.47039MR684968DOI10.1016/0362-546X(82)90107-9
  7. HOFFMAN, K., Banach Spaces of Analytic Functions. Prentice-Hall, Inc., Englewood Cliffs, N.J.1962. Zbl0734.46033MR133008
  8. RUDIN, W., Real and Complex Analysis. McGraw-Hill, New York1966. Zbl0925.00005MR210528

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