齐次Morrey-Herz空间中高阶交换子的中心BMO估计

数学物理学报 ›› 2014, Vol. 34 ›› Issue (2): 426-436.

齐次Morrey-Herz空间中高阶交换子的中心BMO估计

王立伟¹, 瞿萌², 束立生²

1.安徽工程大学数理学院安徽芜湖 |241000;
2.安徽师范大学数学计算机科学学院安徽芜湖 241003

收稿日期:2012-09-19 修回日期:2013-11-23 出版日期:2014-04-25 发布日期:2014-04-25
基金资助:
国家自然科学基金(11201003)和安徽省高校自然科学基金(KJ2013B034)资助.

CBMO Estimates for Higher-Order Commutators onHomogeneous Morrey-Herz Spaces

WANG Li-Wei¹, QU Meng², SHU Li-Sheng²

1.School of |Mathematics and Physics, Anhui Polytechnic University, Anhui Wuhu 241000;
2.School of Mathematics and Computer Science, Anhui Normal University, Anhui Wuhu 241003

Received:2012-09-19 Revised:2013-11-23 Online:2014-04-25 Published:2014-04-25
Supported by:
国家自然科学基金(11201003)和安徽省高校自然科学基金(KJ2013B034)资助.

摘要/Abstract

摘要：

建立了具有粗糙核的Hardy-Littlewood极大算子高阶交换子及其相应的分数次极大算子高阶交换子在齐次Morrey-Herz空间
上的中心BMO估计, 并由此得到了由一类次线性算子所生成的高阶交换子在齐次Morrey-Herz空间上的相应结果.

关键词: CBMO, 齐次Morrey-Herz空间, Hardy-Littlewood极大算子, 高阶交换子

Abstract:

In this paper, we establish CBMO estimates for the higher-order commutators of Hardy-Littlewood maximal operator and fractional maximal operator with rough kernels. Also, the corresponding results for the higher-order commutators which are generated by a class of sublinear operators are obtained.

Key words: CBMO, Homogeneous Morrey-Herz spaces, Hardy-Littlewood maximal operator, Higher-order commutators

中图分类号:

42B20

王立伟, 瞿萌, 束立生. 齐次Morrey-Herz空间中高阶交换子的中心BMO估计[J]. 数学物理学报, 2014, 34(2): 426-436.

WANG Li-Wei, QU Meng, SHU Li-Sheng. CBMO Estimates for Higher-Order Commutators onHomogeneous Morrey-Herz Spaces[J]. Acta mathematica scientia,Series A, 2014, 34(2): 426-436.

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