Acta mathematica scientia, Series B >
DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cn
Received date: 2011-01-07
Revised date: 2011-07-27
Online published: 2012-07-20
Supported by
This work was supported by NSF of Zhejiang Province (D7080080, Y6090036, Y6090694, Y6100219) and the National Natural Science Foundation of China (10971063, 11001246, 11031008, 11101139).
In this paper, we obtain a distortion theorem of Jacobian matrix for biholo-morphic subclasses of starlike mappings along a unit direction on the unit polydisc. These results extend the classical distortion theorem of starlike mappings to higher dimensions. We then give an upper bound estimate for biholomorphic subclasses of starlike mappings along a unit direction in a complex Banach space.
LU Jin , LIU Tai-Shun , WANG Jian-Fei . DISTORTION THEOREMS FOR SUBCLASSES OF STARLIKE MAPPINGS ALONG A UNIT DIRECTION IN Cn[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1675 -1680 . DOI: 10.1016/S0252-9602(12)60133-7
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