论文标题
稀疏操作员和应用的紧凑性
Compactness of the Bloom sparse operators and applications
论文作者
论文摘要
我们在Coifman and Weiss的意义上建立了稀疏操作员（与加权VMO空间中的符号相关联）的紧凑性（与加权VMO空间中的符号相关联）的表征。作为一种直接应用，我们在同质空间上获得了最大换向因子的最大换向因子的紧凑性表征和Calderón-Zygmund运算符的换向器。此外，我们的方法可以应用于多线绽放设置中操作员的紧凑性表征。
We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type in the sense of Coifman and Weiss. As a direct application we obtain the compactness characterization for the maximal commutators with respect to the weighted VMO functions and the commutator of Calderón-Zygmund operators on the homogeneous spaces. Furthermore, our approach can be applied to compactness characterization for operators in the multilinear Bloom setting.
