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| 摘要: |
| 本文研究了Littlewood-Paley算子的多线性交换子在变指数Lebesgue空间上的有界性.基于原子分解和广义BMO范数，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，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:Supported by National Natural Science Foundation of China (11471033). |
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| ON MULTILINEAR COMMUTATORS OF THE LITTLEWOOD-PALEY OPERATORS IN VARIABLE EXPONENT LEBESGUE SPACES |
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WANG Li-wei,SHU Li-sheng
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| Abstract: |
| In this paper, we study the boundedness of multilinear commutators of the Littlewood-Paley operators in variable exponent Lebesgue spaces. Based on the atomic decomposition and generalization of the BMO norms, we also prove some boundedness results for such multilinear commutators in variable exponent Herz-type Hardy spaces, which essentially extend some known results. |
| Key words: Littlewood-Paley operators variable exponent Herz-type Hardy spaces commutators |
