SINGULAR INTEGRALS SUPPORTED BY SUBVARIETIES FOR VECTOR-VALUED FUNCTIONS
SINGULAR INTEGRALS SUPPORTED BY SUBVARIETIES FOR VECTOR-VALUED FUNCTIONS
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DOI：
10.1017/nmj.2017.13
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发表时间：
2017-05
影响因子：
0.8
通讯作者：
Honghai Liu
中科院分区：
文献类型：
--
作者：
Honghai Liu
本文证明了对于$1<p<\infty$和某些UMD空间$\mathbf{X}$，由子变量支持的奇异积分在$L^{p}(\mathbb{R}^{n};\mathbf{X})$上是有界的。利用算子空间理论的术语，证明了由子变量支持的奇异积分是完全$L^{p}$ -有界的。
In this paper, we show that singular integrals supported by subvarieties are bounded on $L^{p}(\mathbb{R}^{n};\mathbf{X})$ for $1<p<\infty$ and some UMD space $\mathbf{X}$ . In the terminology from operator space theory, we prove that singular integrals supported by subvarieties are completely $L^{p}$ -bounded.