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| 摘要: |
| 基于一些点态估计的方法, 我们研究了Littlewood-Paley算子的多线性交换子
在变指数Lebesgue空间上的有界性. 进一步, 利用原子分解和广义 BMO范数
我们证明了这类多线性交换子在变指数Herz型Hardy空间上的有界性, 本质推广了一些已知结果. |
| 关键词: Littlewood-Paley算子 变指数 Herz型Hardy空间 交换子 |
| DOI： |
| 分类号:O174.2 |
| 基金项目: |
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| On multilinear commutators of the Littlewood-Paley operators in variable exponent Lebesgue spaces |
|
Wang Liwei
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| Abstract: |
| Based on some pointwise estimates, we study the boundedness of multilinear commutators of the Littlewood-Paley operators
in variable exponent Lebesgue spaces. Further, we prove some boundedness results for such multilinear commutators in variable
exponent Herz-type Hardy spaces applying the atomic decomposition and generalization of the BMO norms, which essentially
extend some known results. |
| Key words: Littlewood-Paley operators variable exponent Herz-type Hardy spaces commutators. |
