加权Morrey-Herz空间上的广义Hausdorff算子  

Generalized Hausdorff Operators on Weighted Morrey-Herz Spaces

作　　者：匡继昌[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,长沙410081

出　　处：《数学学报（中文版）》2012年第5期895-902,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10971062)

摘　　要：引入了一种新的广义Hausdorff算子.它包括了许多著名的算子作为其特殊情形.我们得到了这些算子在加权Morrey-Herz空间上有界的充分必要条件,还得到了相应的新的算子范数不等式.它们是许多著名结果有意义的改进和推广.We introduce the new generalized Hausdorff operators. It includes many famous operators as special cases. We obtain the necessary and sufficient conditions for these operators to be bounded on the weighted new operator norm inequalities are obtained. generalizations of many known results. Morrey-Herz spaces, the corresponding They are significant improvements and

关 键 词：Hausdorff算子 加权MORREY-HERZ空间 算子范数不等式 

分 类 号：O177.2[理学—数学] O178[理学—基础数学]