交换子在齐次Morrey-Herz空间上的有界性  

The boundedness of commutator on the homogeneous Morrey-Herz spaces

作　　者：杨明华[1] 张学铭[1] 刘冬华[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《湖北大学学报（自然科学版）》2012年第4期434-437,共4页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金项目(10771221)资助

摘　　要：研究与二阶散度型椭圆算子L相伴的分数次积分算子L-β/2与BMO(Rn)函数生成的交换子,采用对函数进行环形分解的技术和对算子转化为相应的截断算子的方法,得出其从MKα,λp1,q1(Rn)到MKα,λp2,q2(Rn)是有界的.It studied the generalized fractional integral operator L-β/2sassociated with divergence form elliptic operator and its commutator [b,L-β/2] generated by the generalized fractional integral operators and BMO(Rn) functions.By the methods of studying ring decomposition of functions and thier corresponding truncated operators,their boundedness of the results from space MKα,λp1,q1(Rn) to space MKα,λp2,q2(Rn) were established.

关 键 词：交换子 齐次MORREY-HERZ空间 椭圆算子 广义分数次积分算子 BMO(Rn) 

分 类 号：O17[理学—数学]