A NECESSARY AND SUFFICIENT CONDITION THAT BIHOLOMORPHIC MAPPINGS ARE STARLIKE ON A CLASS OF REINHARDT DOMAINS

This paper studies the Reinhardt domains B defined as(?)The Schwartz lemma for B is established.Using it the authors give a necessary andsu fficient condition that a local biholomorphic mapping from B to Cn is starlike.It isreduced to the Suffridge’s theorem in the case p1=p2=…=pn>1.

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Veröffentlicht in:数学年刊:B辑英文版 1992 (1), p.95-104
1. Verfasser: 龚升 王世坤 余其煌
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Sprache:eng
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Zusammenfassung:This paper studies the Reinhardt domains B defined as(?)The Schwartz lemma for B is established.Using it the authors give a necessary andsu fficient condition that a local biholomorphic mapping from B to Cn is starlike.It isreduced to the Suffridge’s theorem in the case p1=p2=…=pn>1.
ISSN:0252-9599
1860-6261