| 摘要: |
| 本文研究了由多重奇异积分和Lipschitz函数生成的多线性交换子.利用HardyLittlewood极大算子的有界性,得到了交换子从Lebesgue积空间到Lebesgue空间的有界性,推广了文献[16]的结果. |
| 关键词: 多重奇异积分 Lipschitz函数 交换子 极大函数 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:国家自然科学基金，湖南省教育厅重点科研项目 |
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| MULTILINEAR COMMUTATORS OF MULTILINEAR SINGULAR INTEGRALS WITH LIPSCHITZ FUNCTIONS |
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HUANG Zheng,HUANG Ai-wu,XU Jing-shi
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HUANG Zheng1,2,HUANG Ai-wu1,XU Jing-shi1 (1. Department of Mathematics,Hunan Normal University,Changsha 410081,China) (2. Department of Mathematics and Computer Science,Normal College of Jishou University,Jishou 416000,China)
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| Abstract: |
| Multilinear commutators generated by multilinear singular integrals and Lipschitz functions are discussed. By the boundedness of the Hardy-Littlewood maximal operator, the boundedness of these multilinear commutators from products of Lebesgue spaces to Lebesgue space is obtained. This result generalizes the result in the literature [16]. |
| Key words: multilinear singular integral Lipschitz function commutator maximal function |
