在L^1[0,1]中有关向量值函数强囿变与可导性的一个注记

A note on the relation between the strong bounded variation and derivable for vector-value function in L^1[0,1]

用简单的例子说明了 L1 [0 ,1]空间中存在着强囿变但处处不弱可导的抽象函数 .

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.