THE GENERALIZED ROPER-SUFFRIDGE OPERATOR ON THE UNIT BALL IN COMPLEX BANACH AND HILBERT SPACES  

作　　者：崔艳艳 王朝君 刘浩 

机构地区：[1]College of Mathematics and Information Science,Hebei Normal University [2]College of Mathematics and Statistics,Zhoukou Normal University [3]Institute of Contemporary Mathematics,Henan University

出　　处：《Acta Mathematica Scientia》2017年第6期1817-1829,共13页数学物理学报（B辑英文版）

基　　金：supported by NSF of China(11271359);Science and Technology Research Projects of Henan Provincial Education Department(17A110041);Youth Fund Projects of Zhoukou Normal University(zknu B3201608)

摘　　要：In this paper, we extend the Roper-Suffridge extension operator in complex Ba- nach space, and prove that the extended Roper-Suffridge operators preserve the properties of the subclasses of spirallike mappings on the unit bM1 in complex Banach spaces. Thereby, we promote the conclusions to the cases in complex Hilbert spaces. The conclusions provide new approaches to construct these subclasses of spiraJlike mappings in several complex variables.In this paper, we extend the Roper-Suffridge extension operator in complex Ba- nach space, and prove that the extended Roper-Suffridge operators preserve the properties of the subclasses of spirallike mappings on the unit bM1 in complex Banach spaces. Thereby, we promote the conclusions to the cases in complex Hilbert spaces. The conclusions provide new approaches to construct these subclasses of spiraJlike mappings in several complex variables.

关 键 词：spirallike mappings starlike mappings Roper-Suffridge operator 

分 类 号：O177[理学—数学]