复Banach空间上推广的Roper-Suffridge算子与Loewner链  

Roper-Suffridge operator generalized in complex Banach space and Loewner chains

作　　者：崔艳艳[1] 王朝君[1] 

机构地区：[1]周口师范学院数学与信息科学系,河南周口466001

出　　处：《兰州理工大学学报》2013年第5期145-148,共4页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11271359;U1204618);河南省自然科学基金(2011B110034);河南省科技厅软科学项目(102400450003)

摘　　要：证明推广的Roper-Suffridge算子在复Banach空间单位球上能嵌入Loewner链,并从Loewner链的角度出发讨论推广后的算子在复Banach空间单位球上保持α次殆β型螺形性,并由此推出推广后的算子在复Hilbert空间单位球上能嵌入Loewner链并保持α次殆β型螺形性.It was proved that the generalized Noper-Suffrloge operator cuuiu be chain on the unit ball in complex Banach space, and from the view point of Loewner chains it was also discussed that the generalized operator would preserve spirallikeness of type β and order a on the unit ball in complex Banach space, so that the possibility of embedment of Loewner chain on the unit ball in complex Hilbert space was concluded and it preserved spirallikeness of type fl and order a.

关 键 词：ROPER-SUFFRIDGE算子 α次殆β型螺形映照 Loewner链 

分 类 号：O174.56[理学—数学]