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Julia Sets of Skew Products for Class MAp
引用本文:王升. Julia Sets of Skew Products for Class MAp[J]. 清华大学学报, 2004, 9(1): 121-124
作者姓名:王升
作者单位:DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China
摘    要:Let fj ∈ M (j = 1, 2, …, m; m ≥ 1) and f^- be the skew product associated with the generator system {f1, f2, …, fm}. f^-hen F( f^- ) is completely invariant under ( f^- ); J( f^- ) is completely invariant under f^- J( f^- ) isperfect; J( f^- ) has interior points if and only if F( f^- ) = Φ; if fj ∈ MAp (p ≥ 5), j = 1, 2, ..., m, then the set of the repelling fixed points of f^- of all orders are dense in J( f^- ).

关 键 词:Julia集 斜积 Fatou集 亚纯函数 Jordan曲线

Julia Sets of Skew Products for Class MAp
WANG Sheng ). Julia Sets of Skew Products for Class MAp[J]. Tsinghua Science and Technology, 2004, 9(1): 121-124
Authors:WANG Sheng )
Abstract:
Keywords:Fatou set  function meromorphic outside a small set  Julia set  skew product
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