变指标有界变差空间的准紧集  

Precompact Sets in Variable Exponent Bounded Variation Spaces

作　　者：司亚楠 徐景实 Si Yanan;Xu Jingshi(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin 541004,China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,桂林541004

出　　处：《数学理论与应用》2023年第2期107-121,共15页Mathematical Theory and Applications

基　　金：supported by National Natural Science Foundation of China(No.12161022)。

摘　　要：本文利用等度变差集,考虑单变量和双变量情形下变指标Banach空间值的有界Wiener变差空间和有界Riesz变差空间中准紧集的充分条件.By equivariated sets,we consider sufficient conditions for precompact sets in variable exponent Banach spacevalued bounded Wiener variation spaces and bounded Riesz variation spaces in univariate and bivariate cases,respectively.

关 键 词：准紧集 有界变差空间 变指标 Banach空间值 

分 类 号：O177[理学—数学]