| 非双倍测试下Marcinkiewicz积分在Morrey-Herz空间中的有界性 |
| |
| 引用本文： | 赵凯,王永刚.非双倍测试下Marcinkiewicz积分在Morrey-Herz空间中的有界性[J].东北师大学报(自然科学版),2012,44(3):15-19. |
| |
| 作者姓名： | 赵凯 王永刚 |
| |
| 作者单位： | 青岛大学数学科学学院,山东青岛,266071 |
| |
| 基金项目： | 国家自然科学基金资助项目(11041004);山东省自然科学基金资助项目(ZR2010AM032) |
| |
| 摘 要： | 在非双倍测度下对Marcinkiewicz积分的有界性进行了研究.应用Morrey-Herz空间的特征,以及经典的不等式,证明了非双倍测试下一类Marcinkiewicz积分在MorreyHerz空间上是有界的.
|
| 关 键 词： | 非双倍测度 Marcinkiewicz积分 Morrey-Herz空间 有界性 |
Boundedness of Marcinkiewicz integral in Morrey-Herz spaces with non-doubling measures |
| |
| ZHAO Kai
,
WANG Yong-gang.Boundedness of Marcinkiewicz integral in Morrey-Herz spaces with non-doubling measures[J].Journal of Northeast Normal University (Natural Science Edition),2012,44(3):15-19. |
| |
| Authors: | ZHAO Kai WANG Yong-gang |
| |
| Institution: | (College of Mathematics,Qingdao University,Qingdao 266071,China) |
| |
| Abstract: | The boundedness of Marcinkiewicz integral with non-doubling measures is discussed.By the characterization of Morrey-Herz spaces,and using some classical inequalities,the boundedness of the Marcinkiewicz integral on Morrey-Herz spaces with non-doubling measures is proved. |
| |
| Keywords: | non-doubling measure Marcinkiewicz integral Morrey-Herz space boundedness |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
