COMMUTATORS OF THE MAXIMAL FUNCTIONS ON BANACH FUNCTION SPACES

被引：0

作者：

Agcayazi, Mujdat ^{[1
]}

Zhang, Pu ^{[2
]}

机构：

[1] Aydin Adnan Menderes Univ, Dept Math & Sci Educ, TR-09010 Aydin, Turkiye

[2] Mudanjiang Normal Univ, Dept Math, Heilongjiang 157011, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 60卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Banach function spaces; commutators; maximal functions; BMO(R-n); WEIGHTED NORM INEQUALITIES; VARIABLE EXPONENT; ORLICZ SPACES; OPERATORS; LEBESGUE; BMO; BOUNDEDNESS;

D O I：

10.4134/BKMS.b220724

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M and M-# be Hardy-Littlewood maximal operator and sharp maximal operator, respectively. In this article, we present neces-sary and sufficient conditions for the boundedness properties for commu-tator operators [M, b] and [M-#, b] in a general context of Banach func-tion spaces when b belongs to BMO(R-n) spaces. Some applications of the results on weighted Lebesgue spaces, variable Lebesgue spaces, Orlicz spaces and Musielak-Orlicz spaces are also given.

引用

页码：1391 / 1408

页数：18

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