Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Subordination principle and distortion theorems on holomorphic mappings in the space $ C\sp{n}$


Author: Kyong T. Hahn
Journal: Trans. Amer. Math. Soc. 162 (1971), 327-336
MSC: Primary 32A30; Secondary 30A42
Erratum: Trans. Amer. Math. Soc. 170 (1972), 507-508.
MathSciNet review: 0298046
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Generalizing the notion of subordination principle in the complex plane to the space of several complex variables, we obtain various distortion theorems on holomorphic mappings of one bounded domain into another in terms of geometrical quantities of the domains and the Bergman metric furnished, thus obtaining a generalization of the Koebe-Faber distortion theorem among others.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 32A30, 30A42

Retrieve articles in all journals with MSC: 32A30, 30A42


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1971-0298046-6
Keywords: Subordination principle, biholomorphic mapping, generalized Koebe's constant, generalized pseudo-chordal distance, Carathéodory pseudo-metric, classical Cartan domain, bounded symmetric domain, Bergman kernel, Bergman metric, relative invariant, holomorphic automorphism, bounded schlicht domain, homogeneous domain, Koebe-Faber distortion theorem, generalized Vitali's theorem
Article copyright: © Copyright 1971 American Mathematical Society