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齐次~Morrey-Herz 空间上分数次积分算子高阶交换子的有界性
引用本文:陶双平,武江龙.齐次~Morrey-Herz 空间上分数次积分算子高阶交换子的有界性[J].数学研究及应用,2007,27(3):505-512.
作者姓名:陶双平  武江龙
作者单位:西北师范大学数学与信息科学学院,甘肃,兰州,730070
摘    要:在齐次Morrey-Herz空间上建立了高阶交换子~$T^{m}_{b,l}$ 和 ~$M^{m}_{b,l}$的有界性,其中~$T^{m}_{b,l}$ 和 ~$M^{m}_{b,l}$ 是由分数次积分算子和分数次极大算子分别与~BMO($R^{n}$)函数生成的高阶交换子.

关 键 词:高阶交换子  齐次Morrey-Herz空间  分数次积分算子  分数次极大算子
文章编号:1000-341X(2007)03-0505-08
收稿时间:2005/11/28 0:00:00
修稿时间:2005-11-28

Boundedness of Higher Order Commutators of Fractional Integral Operators on Homogeneous Morrey-Herz Spaces
TAO Shuang-ping and WU Jian-long.Boundedness of Higher Order Commutators of Fractional Integral Operators on Homogeneous Morrey-Herz Spaces[J].Journal of Mathematical Research with Applications,2007,27(3):505-512.
Authors:TAO Shuang-ping and WU Jian-long
Institution:College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China;College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China
Abstract:Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators ~$T^{m}_{b,l}$ and ~$M^{m}_{b,l}$ generated by fractional integral operators ~$T_l$ and maximal fractional operators ~$M_l$ with function b(x) in BMO(${\mathbf{R}}^{n}$), respectively.
Keywords:BMO(Rn)    higher order commutators  homogeneous Morrey-Herz space  fractional integral operator  maximal fractional operator  BMO(Rn)  
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