Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability 被引量：1

Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability

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摘要 In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered. In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered.

作者 hu yuan-zhu xu jing-shi ji you-qing

机构地区 School of Mathematics and Statistics 不详

出处《Communications in Mathematical Research》 CSCD 2017年第3期238-258,共21页 数学研究通讯（英文版）

基金 The NSF(11361020)of China the NSF(20151011)of Hainan Province

关键词 MULTILINEAR Calderon-Zygmund operator VARIABLE exponent Herz-Morrey space vector valued estimate multilinear Calderón-Zygmund operator variable exponent Herz-Morrey space vector valued estimate

分类号 O177 [理学—基础数学]

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参考文献3

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共引文献35

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同被引文献4

1Jing-shi XU Department of Mathematics, Hunan Normal University, Changsha 410081, China.Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures[J].Science China Mathematics,2007,50(3):361-376. 被引量：10
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4Wei WANG,Jingshi XU.Multilinear Calderon-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces[J].Frontiers of Mathematics in China,2017,12(5):1235-1246. 被引量：2

引证文献1

1Shengrong WANG,Jingshi XU.Boundedness of Vector Valued Bilinear Calderón-Zygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents[J].Chinese Annals of Mathematics,Series B,2021,42(5):693-720. 被引量：2

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1王英杰,赵睿刚,汤灿琴.某类次线性算子在加权变指数Herz空间上的有界性[J].湖南文理学院学报（自然科学版）,2023,35(2):1-6.
2刘可欣,王立伟.向量值次线性算子的交换子在变指数Herz-Morrey空间上的加权估计[J].应用数学,2024,37(2):496-508.

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