叙列空间上三种k级绝对连续函数及其关系  

THREE KINDS OF ABSOLUTE CONTINUOUS FUNCTIONS OF ORDER K AND THEIR RELATIONS ON THE SEQUENCE SPACES

作　　者：杨姗姗[1] 

机构地区：[1]黑龙江商学院基础部

出　　处：《黑龙江商学院学报》1997年第2期53-55,64,共4页Journal of Harbin Commercial University(Natural Sciences Edition)

摘　　要：在已有叙列空间ｋ级绝对连续函数定义的基础上，又给出了叙列空间上ｋ级强、弱绝对连续函数的定义，同时研究了三者的关系，并在特殊空间Ｓ和φ中获得了一个三者等价的结果。Based on the obtained results of the k th order absolute continous functions, the strong and week ones on the sequence spaces were defined. The relations among the above three respects were investigated and an equality of them three on the particular spaces s and φ was also proved.

关 键 词：K级 绝对连续函数 有界集 叙列空间 特殊空间 

分 类 号：O177.3[理学—数学]