具有H(m)-型核的奇异积分算子交换子的双权Lipschitz估计

摘要

利用核函数估计方法研究了具有H(m)-型核函数的奇异积分算子和加权Lipschitz函数生成的交换子的性质.通过建立该交换子的sharp极大函数的点态估计,证明了上述交换子是Lp(μ)到Lp(μ1-q)上的有界算子,推广了一些已有的结果.%The properties of commutators generated by the singular integral with H(m)-kernel and the weighted Lipschitz function are studied by the kernel function estimation. By the methods of establishing a pointwise estimate of sharp maximal function for those commutators, it is proved that above commutator is bounded form Lp(μ) to V(μ1-q), which improves some existing results.