%0 Journal Article %T 变指数Herz型Hardy空间上的多线性Calderón-Zygmund算子交换子<br>Commutators of multilinear Calderón-Zygmund operator on Herz-type Hardy spaces with variable exponent %A 赵欢 %A 周疆< %A br> %A ZHAO Huan %A ZHOU Jiang %J 山东大学学报(理学版) %D 2018 %R 10.6040/j.issn.1671-9352.0.2017.567 %X 摘要: 基于多线性奇异积分交换子在变指数Lebesgue空间上的有界性, 利用原子分解定理, 证明了多线性Calderón-Zygmund 算子与BMO函数生成的交换子在乘积变指数Herz型Hardy空间上的有界性。<br>Abstract: Using the atomic decomposition theorem, we obtain the boundedness of a commutator generated by multilinear Calderón-Zygmund operator and BMO functions in Herz-type Hardy spaces with variable exponent. The proof is based on the boundedness of multilinear Calderón-Zygmund operator on variable exponent Lebesgue spaces %K 变指数Herz型Hardy空间 %K 多线性Calderón-Zygmund算子 %K 交换子 %K < %K br> %K multilinear Calderón-Zygmund operator %K commutator %K variable exponent Herz-type Hardy space %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.567