Acta mathematica scientia, Series B >
PROPERTIES OF THE MODIFIED ROPER-SUFFRIDGE EXTENSION OPERATORS ON REINHARDT DOMAINS
Received date: 2015-05-08
Revised date: 2016-04-06
Online published: 2016-12-25
Supported by
This work was supported by NSFC (11271359, U1204618), Science and Technology Research Projects of Henan Provincial Education Department (14B110015, 14B110016), Youth Fund Projects of Zhoukou Normal University (zknuB3201608).
In this paper, we mainly discuss the properties of the modified Roper-Suffridge operators on Reinhardt domains. By the analytical characteristics and distortion results of subclasses of biholomorphic mappings, we conclude that the modified Roper-Suffridge operators preserve the properties of SΩ*(β, A, B), almost starlike mapping of complex order λ on Ωn,p2,…,pn. Sequentially, we get that the modified Roper-Suffridge operators preserve spirallikeness of type β and order α, strongly pirallikeness of type β and order α, almost starlikeness of order α on Ωn,p2,…,pn. The conclusions provide a new approach to construct these biholomorphic mappings which have special geometric properties in several complex variables.
Key words： Roper-Suffridge operator; spirallike mappings; starlike mappings
Chaojun WANG , Yanyan CUI , Hao LIU . PROPERTIES OF THE MODIFIED ROPER-SUFFRIDGE EXTENSION OPERATORS ON REINHARDT DOMAINS[J]. Acta mathematica scientia, Series B, 2016 , 36(6) : 1767 -1779 . DOI: 10.1016/S0252-9602(16)30104-7
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