实抽象函数的弱Henstock积分

The Weak Henstock Integral of Real Abstract Functions

本文定义了实抽象函数的弱Henstock积分,讨论了弱Henstock积分与Pettis积分的关系,给出了取值于实自反Banach空问的抽象函数弱Henstock可积的一个充分条件。

In this paper,we define the weak Henstock integral of real abstract functions,dis- cuss the relation between weak Henstock integral and Pettis integral,and propose a sufficient con- dition that a function with values in real reflexive Banach space is Weak Henstock integable.