| 摘要: |
| 本文研究了Lusin面积积分及其交换子在广义局部Morrey空间的有界性.利用对Lusin面积积分μΩ，S的逐点估计及Hardy不等式，研究了Lusin面积积分μΩ，S在广义局部Morrey空间的有界性.类似地，还得到了Lusin面积积分μΩ，S与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性，推广了已有的结果. |
| 关键词: Lusin面积积分 交换子 局部Campanato函数 广义局部Morrey空间 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11601035). |
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| COMMUTATORS GENERATED BY LUSIN-AREA INTEGRAL AND LOCAL CAMPANATO FUNCTIONS ON GENERALIZED LOCAL MORREY SPACES |
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MO Hui-xia, MA Rui-qing, WANG Xiao-juan
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School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
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| Abstract: |
| In the paper, the boundedness of the Lusin-area integral and its commutator on the generalized local Morrey spaces are established. Using the pointwise estimate of Lusin-area integral μΩ,S and Hardy inequality, we study the boundedness of the Lusin-area integral μΩ,S on the generalized local Morrey spaces, as well as the boundedness of the commutators generated by μΩ,S and local Campanato functions, which extend the previous results. |
| Key words: Lusin-area integral commutator local Campanato function generalized local Morrey space |
