Acta mathematica scientia, Series B >
ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cn
Received date: 2005-10-08
Revised date: 2006-03-23
Online published: 2007-10-20
In this article, a normalized biholomorphic mapping f defined on bounded starlike circular domain in Cn is considered, where z=0 is a zero of order k+1 of f(z)-z. The sharp growth, covering theorems for almost starlike mappings of order α and starlike mappings of order α are established. Meanwhile, the
construction of the above mappings on bounded starlike circular domain in Cn is also discussed, it provides the extremal mappings for the growth, covering theorems of the above mappings.
Liu Xiaosong , Liu Taishun . ON THE SHARP GROWTH, COVERING THEOREMS FOR NORMALIZED BIHOLOMORPHIC MAPPINGS IN Cn[J]. Acta mathematica scientia, Series B, 2007 , 27(4) : 803 -812 . DOI: 10.1016/S0252-9602(07)60077-0
/
| 〈 |
|
〉 |