论文标题
Zygmund类型和标志类型的最大功能以及稀疏的操作员
Zygmund type and flag type maximal functions, and sparse operators
论文作者
论文摘要
我们证明，在三维欧几里得空间中与Zygmund扩张二元结构相关的最大函数，并且与二维欧几里得空间中的旗帜二元结构相关，不能由多培训的稀疏操作员界定与通讯二元格。我们还获得了有关强二元最大功能缺乏稀疏支配性的补充结果。
We prove that the maximal functions associated with a Zygmund dilation dyadic structure in three-dimensional Euclidean space, and with the flag dyadic structure in two-dimensional Euclidean space, cannot be bounded by multiparameter sparse operators associated with the corresponding dyadic grid. We also obtain supplementary results about the absence of sparse domination for the strong dyadic maximal function.
