Holomorphic retracts of polyballs

Author:
Tadeusz Kuczumow

Journal:
Proc. Amer. Math. Soc. **98** (1986), 374-375

MSC:
Primary 47H10; Secondary 32H15, 32H35

DOI:
https://doi.org/10.1090/S0002-9939-1986-0854050-4

MathSciNet review:
854050

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a holomorphic self-mapping in the Cartesian product of unit open balls in . In this note we give a very short proof of the fact that if is nonempty, then this set is a holomorphic retract of .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1986-0854050-4

Keywords:
Hyperbolic metric,
nonexpansive mappings,
holomorphic mappings,
holomorphic retracts,
fixed points

Article copyright:
© Copyright 1986
American Mathematical Society