SOME CHARACTERIZATIONS OF LIPSCHITZ SPACES VIA COMMUTATORS OF THE HARDY-LITTLEWOOD MAXIMAL OPERATOR ON SLICE SPACES

被引：0
作者：
Yang, Heng [1 ]
Zhou, Jiang [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Xinjiang, Peoples R China
来源：
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2023年 / 24卷 / 03期
基金：
中国国家自然科学基金;
关键词：
slice space; Lipschitz space; Hardy-Littlewood maximal operator; commutator; BOUNDEDNESS;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Let M be the Hardy-Littlewood maximal operator and b be a locally integrable function. Denote by M-b and [b, M] the maximal commutator and the nonlinear commutator of M with b. In this paper, we give necessary and sufficient conditions for the boundedness of M-b and [b, M] on slice spaces when the function b belongs to Lipschitz spaces, by which a new characterization of non-negative Lipschitz functions is obtained.
引用
收藏
页码：221 / 228
页数：8
相关论文
共 23 条
123