向量值可测函数的可导性

The Derivablity of Vector-valued Measurable Functions

文[1]给出了向量值可测函数的连续性的一些结果,本文主要讨论向量值可测函数的强可导及弱可导性,并得到了一些相应的结果。

In the paper [1], some results of continuity, of vectorvalued measurable functions are discussed. In our paper, we give the definitions of strong drtivablety and weak derivablty of these function dasses, and obtain some corresponding results as following:If [f] is strongly(weakly) derivable on Ω=[a, b](?)R, then exists an unique function g∈[f] such that g is strongly (weakly) derivable on Ω.