| 变量核参数型Marcinkiewicz积分算子在加权Campanato空间的有界性 |
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| 引用本文： | 黄玲玲,赵凯.变量核参数型Marcinkiewicz积分算子在加权Campanato空间的有界性[J].山东大学学报(理学版),2016,51(10):1-5. |
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| 作者姓名： | 黄玲玲 赵凯 |
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| 作者单位： | 青岛大学数学与统计学院, 山东 青岛 266071 |
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| 基金项目： | 国家自然科学基金资助项目(11471176);山东省自然科学基金资助项目(BS2014SF002) |
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| 摘 要： | 借助于带变量核参数型Marcinkiewicz积分算子的加权Lp有界性,利用经典的不等式估计以及加权Campanato空间的性质,证明了其在加权Campanato空间的有界性。作为Campanato空间的一个特例,还得到了其在加权BMO(Rn)空间的有界性。
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| 关 键 词： | Marcinkiewicz积分算子 加权Campanato空间 有界性 变量核 |
| 收稿时间： | 2016-01-25 |
Boundedness of the parameterized Marcinkiewicz integral operators with variable kernels on weighted Campanato spaces |
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| HUANG Ling-ling,ZHAO Kai.Boundedness of the parameterized Marcinkiewicz integral operators with variable kernels on weighted Campanato spaces[J].Journal of Shandong University,2016,51(10):1-5. |
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| Authors: | HUANG Ling-ling ZHAO Kai |
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| Institution: | School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China |
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| Abstract: | Based on the results of the boundedness of parameterized Marcinkiewicz integral operators on weighted Lp spaces, by using the estimates of classical inequalities and the properties of the weighted Campanato spaces, the boundedness of the parameterized Marcinkiewicz integral operators μρΩ with variable kernel on weighted Campanato and BMO spaces is obtained. |
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| Keywords: | Marcinkiewicz integral operator weighted Campanato space boundedness variable kernel |
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