摘要
本文引进变指标中心有界平均振荡函数空间.作为应用,得到了Hardy算子及其共轭算子的交换子在变指标勒贝格空间上有界性的特征刻画.另外,还考虑了交换子在变指标Herz空间上的向量值不等式.
In this paper, the central BMO spaces with variable exponent are intro- duced. As an application, we characterize these spaces by the boundedness of com- mutators of Hardy operator and its dual operator on variable Lebesgue spaces. The boundedness of vector-valued commutators on Herz spaces with variable exponent are also considered.
作者
王定怀
刘宗光
周疆
滕志东
Ding Huai WANG;Zong Guang LIU;Jiang ZHOU;Zhi Dong TENG(College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China 2 Department of Mathematics, China University of Mining and Technology, Beijing 100083, P. R. China)
出处
《数学学报（中文版）》
CSCD
北大核心
2018年第4期641-650,共10页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11661075,11271312)
