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.
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)
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)。
关键词
准紧集
有界变差空间
变指标
Banach空间值
Precompact set
Bounded variation space
Variable exponent
Banach spacevalued
