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Reinhardt域上和复Hilbert空间单位球上推广的Roper-Suffridge算子的性质
  • 期刊名称：河南大学学报, 38(1)，2008,1-7.
  • 时间：0
  • 分类：O174.51[理学—数学;理学—基础数学]
  • 作者机构：[1]河南大学数学与信息科学学院,河南开封475001, [2]陕西理工学院数学系,陕西汉中723001
  • 相关基金：国家自然科学基金资助项目（10626015,10571044）;河南大学自然科学基础研究基金资助项目（04ZDZR004）
  • 相关项目：多复变几何函数论与调和分析的相关问题
关键词： α次的殆β型螺形映照, 推广的Roper_Sufmdge算子, REINHARDT域, 复HILBERT空间, almost spirallike mappings of type β and order α, generalized Roper-Suffridge extension operator, Reinhardt domains, complex Hilbert spaces
中文摘要：

由α次的殆β型螺形映照的定义，分别给出推广的Roper-Suffridge算子在Reinhardt域上和复Hilbert空间中的单位球上保持α次的殆β型螺形性．

英文摘要：

This paper, by the definition of almost spirallike mappings of type β（β∈（-π/2,π/2））and orderα（α∈[0,1）） , discusses the generalized Roper-Suffridge extension operator which preserves almost spirallikeness of type β and order α on Reinhardt domains in C^n and the unit ball in complex Hilbert spaces, respectively.

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