齐次空间上奇异积分的多线性换易子端点学习

Jian-Guo Shi, Juan Wang, Meng Zhou, Bing Yin, Yan-Fang Shi
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摘要

本文利用Lp (l <;p <;奇异积分算子的有界性。证明的主要工具是函数空间的分解和一些一般不等式。我们建立的估计在支持向量机中得到了广泛的应用,特别是Minkowski不等式和Holde不等式,它们可以应用于基于核方法的分类问题。
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Endpoint learning for multilinear commutator of singular integral on space of homogeneous type
In this paper, we prove the endpoint estimates for the multilinear commutator related to the singular integral on the space of homogeneous type by means of the Lp (l <; p <; ∞) boundedness for the singular integral operator. The main tools of the proof are decomposition of function spaces and some general inequalities. The estimates we established are widely applied in support vector machines, especially the Minkowski's inequality and Holde's inequality which may have application to classification problems based on Kernel methods.
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