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在L1[0,1]中有关向量值函数强囿变与可导性的一个注记
引用本文:傅小红.在L1[0,1]中有关向量值函数强囿变与可导性的一个注记[J].天津工业大学学报,2001,20(4):34-34,37.
作者姓名:傅小红
作者单位:嘉应学院数学系,
摘    要:用简单的例子说明了L10,1]空间中存在着强囿变但处处不弱可导的抽象函数。

关 键 词:强囿变  强可导  弱可导  抽象函数

A note on the relation between the strong bounded variation and derivable for vector-value function in L~1[0,1]
FU Xiao,hong.A note on the relation between the strong bounded variation and derivable for vector-value function in L~1[0,1][J].Journal of Tianjin Polytechnic University,2001,20(4):34-34,37.
Authors:FU Xiao  hong
Abstract:This paper presents a counter example which shows that there exists a vector value function in the space L 1 which is strong bounded variation (even strongly absolutely continuous) but is not even weak derivable.
Keywords:strong bounded variation  strong derivable  weak derivable
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