| 分数次极大算子及交换子在λ-中心Morrey空间上的加权估计 |
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| 引用本文： | 陶双平,杨雨荷.分数次极大算子及交换子在λ-中心Morrey空间上的加权估计[J].山东大学学报(理学版),2019,54(8):68-75. |
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| 作者姓名： | 陶双平 杨雨荷 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11561062,11601434) |
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| 摘 要： | 利用权不等式及实变方法,得到了粗糙核分数次极大算子在加权λ-中心Morrey空间上的有界性。同时也证明了粗糙核分数次极大算子与加权λ-中心有界平均振荡函数生成的交换子的有界性。
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| 关 键 词： | 加权λ-中心Morrey空间 分数次极大算子 交换子 |
Weighted estimates of fractional maximal operator and its commutator on weighted λ-central Morrey spaces |
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| TAO Shuang-ping,YANG Yu-he.Weighted estimates of fractional maximal operator and its commutator on weighted λ-central Morrey spaces[J].Journal of Shandong University,2019,54(8):68-75. |
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| Authors: | TAO Shuang-ping YANG Yu-he |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | By applying the weighted inequalities and the real variable methods, the boundedness of the fractional maximal operator with rough kernel is obtained in the weighted λ-central Morrey spaces. And also, the boundedness of its commutator generated by a λ-central mean oscillation function is proved. |
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| Keywords: | weighted λ-central Morrey space fractional maximal operator commutator |
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