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次线性算子的多线性交换子在齐型Morrey空间上的有界性

Keywords: 次线性算子,多线性交换子,Mqp(Rn)有界,齐型Morrey空间

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Abstract:

主要讨论了满足不等式|Tf(x)|≤C∫Rn(|f(y)|)/(|x-y|n)dy的次线性算子T与BMO函数生成的多线性交换子Tb在齐型Morrey空间上的有界性,得到了在Lp(Rn)有界的情况下,Tb是Mqp(Rn)有界的.并由此得出在Lp(Rn)有界的情况下,当δ=(n-1)/2时,Bochner-Riesz算子的多线性交换子Bbδ和极大多线性交换子Bbδ*也是Mqp(Rn)有界的.

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