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- 2018
变指数Herz型Hardy空间上的多线性Calderón-Zygmund算子交换子
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Abstract:
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。
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