中北大学学报（自然科学版）Issue(4)：376-379,393,5.DOI:10.3969/j.issn.1673-3193.2014.04.003
Reinhardt 域上推广的 Roper-Suffridge算子与 Loewner 链
The Generalized Roper-Suffridge Extension Operator on Reinhardt Domains and Loewner Chains
摘要
Abstract
The relation of Roper-Suffridge operators and loewner chains was investigated .Using the definition and the property of loewner chains ,it was proved that the generalized Roper-Suffridge extension operator can be embedded in a loew ner chain in the bounded completely Reinhardt domains .From the relation of almost spirallike mappings of type βand order αand loew ner chains ,it is obtained that the generalized operator pre-serve almost spirallikeness of type βand order αin the bounded completely Reinhardt domains .As the special case ,it is obtained that the generalized operator preserve almost starllikeness of order αand spirallikeness of type βin the corresponding domains .关键词
Roper-Suffridge算子/Loewner链/α次殆β型螺形映照/有界完全Reinhardt域Key words
Roper-Suffridge operator/Loewner chains/spirallike mappings of type βand order α/bounded completely Reinhardt domains分类
数理科学引用本文复制引用
崔艳艳,王朝君..Reinhardt 域上推广的 Roper-Suffridge算子与 Loewner 链[J].中北大学学报（自然科学版）,2014,(4):376-379,393,5.基金项目
国家自然科学基金资助项目（11271359，U1204618）；河南省教育厅自然科学基金资助项目（2011BZ10034）；河南省科技厅软科学项目 （）
