| 带变量核的Marcinkiewicz积分交换子在加权弱Hardy空间上的有界性 |
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| 引用本文： | 潘亚丽,李昌文.带变量核的Marcinkiewicz积分交换子在加权弱Hardy空间上的有界性[J].山东大学学报(自然科学版),2014(3):84-89. |
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| 作者姓名： | 潘亚丽 李昌文 |
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| 作者单位： | 淮北师范大学数学科学学院,安徽 淮北235000 |
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| 基金项目： | 国家自然科学基金资助项目（11001001）;安徽省高等学校省级自然科学研究项目（KJ2013A235,KJ20132279） |
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| 摘 要： | 证明了带变量核的Marcinkiewicz积分交换子μΩ,b在加权弱Hardy空间上的有界性。利用加权弱Hardy空间上的原子分解理论,得到了核函数满足一定条件下μΩ,b的有界性结论,这里b∈BMO。同时,得到了与参数型的Marcinkiewicz积分交换子μρΩ,b类似的结果。
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| 关 键 词： | Marcinkiewicz积分 变量核 加权弱Hardy空间 |
Boundedness of commutators related to Marcinkiewicz integrals with variable kernels on weighted weak Hardy spaces |
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| PAN Ya-li,LI Chang-wen.Boundedness of commutators related to Marcinkiewicz integrals with variable kernels on weighted weak Hardy spaces[J].Journal of Shandong University(Natural Science Edition),2014(3):84-89. |
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| Authors: | PAN Ya-li LI Chang-wen |
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| Institution: | (School of Mathematical Sciences, Huaibei Normal University, Huaibei 235000, Anhui, China) |
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| Abstract: | The boundedness of the commutators μΩ,b related to Marcinkiewicz with variable kernels on weighted weak Hardy spaces are proved. By the atomic decompositions of weighted weak Hardy spaces, some results about μΩ,b are obtained under the hypothesis that the kernel satisfies a certain condition, where b∈BMO. The same results are shown for the commutator μρΩ,b related to the parametric Marcinkiewicz integral μρΩ. |
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| Keywords: | Marcinkiewicz integral variable kernels weighted weak Hardy spaces |
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