Subordination principle and distortion theorems on holomorphic mappings in the space $C^{n}$
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- by Kyong T. Hahn PDF
- Trans. Amer. Math. Soc. 162 (1971), 327-336 Request permission
Erratum: Trans. Amer. Math. Soc. 170 (1972), 507-508.
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
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 162 (1971), 327-336
- MSC: Primary 32A30; Secondary 30A42
- DOI: https://doi.org/10.1090/S0002-9947-1971-0298046-6
- MathSciNet review: 0298046