Characterizations of the BMO and Lipschitz Spaces via Commutators on Weak Lebesgue and Morrey Spaces

被引：0
|
作者：
Ding-huai WANG [1 ]
Jiang ZHOU [2 ]
机构：
[1] School of Mathematics and Statistics, Anhui Normal University
[2] College of Mathematics and System Sciences, Xinjiang University
来源：
Acta Mathematicae Applicatae Sinica | 2023年 / 39卷 / 03期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
We prove that the weak Morrey space W Mqpis contained in the Morrey space Mq1pfor 1 ≤ q1<q ≤ p < ∞. As applications, we show that if the commutator [b, T ] is bounded from Lpto Lp,∞for some p ∈(1, ∞), then b ∈ BMO, where T is a Calderón-Zygmund operator. Also, for 1 < p ≤ q < ∞, b ∈ BMO if and only if [b, T ] is bounded from Mqpto W Mqp. For b belonging to Lipschitz class, we obtain similar results.
引用
收藏
页码：583 / 590
页数：8
相关论文
共 50 条
12345