THE GROWTH AND 1/4-THEOREMS FOR STARLIKE MAPPINGS IN C~n

THE GROWTH AND 1/4-THEOREMS FOR STARLIKE MAPPINGS IN C~n

ⅠMore than fifty years ago, Henri Cartant ~j suggested that geometric function theory ofone complex variable should be extended to biholomorphic mappings of several complexvariables. In particular, he cited the special classes of starlike and convex mappings asappropriate topics for generalization....

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Veröffentlicht in:科学通报：英文版 1990 (5), p.357-359
1. Verfasser: CARL H. FITZ GERALD 龚昇 ROGER W. BARNARD
Format: Artikel
Sprache:eng
Schlagworte:
1/4-Theorem
convex
Koebe
mapping
starlike
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Zusammenfassung:ⅠMore than fifty years ago, Henri Cartant ~j suggested that geometric function theory ofone complex variable should be extended to biholomorphic mappings of several complexvariables. In particular, he cited the special classes of starlike and convex mappings asappropriate topics for generalization. In noting some of the difficulties of generalization, hepointed out the Growth Theorem as one of the results that would not extend to thepolydisc (nor to the ball). Also, he observed that for normalized biholomorphic mappings
ISSN:2095-9273