齐次Morrey-Herz空间上交换子的有界性(英文)  

BOUNDEDNESS FOR COMMUTATORS ON HOMOGENEOUS MORREY-HERZ SPACES

作　　者：陶双平[1] 武江龙[2] 孙小春[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070 [2]牡丹江师范学院数学系,黑龙江牡丹江157012

出　　处：《数学杂志》2009年第1期21-26,共6页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China (10571014 ;10671158);the Scientific Foundation of Gansu Education Office(0701-15)

摘　　要：本文研究了高阶交换子的有界性,利用截断算子方法和函数分解技术,在齐次Morrey-Herz空间上,得到了由次线性算子与BMO函数生成的高阶交换子的有界性以及卷积类算子高阶交换子的有界性.In this paper, we study the boundedness of higher order commutators. By using the truncated operator methods and the techniques of function compositions, we not only obtain the boundedness results for higher order commutators generated by the sublinear operators and BMO functions on homogeneous Morrey-Herz spaces, but also get the boundedness for higher order commutators type of convolution operators.

关 键 词：LEBESGUE空间 幂权 交换子 BMO(Rn) 齐次MORREY-HERZ空间 

分 类 号：O174.2[理学—数学]