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

页码：221 / 228

页数：8

共 23 条

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