齐型空间上Herz空间中的极大算子交换子

The Commutator of the Maximal Operator on Herz Spaces of Homogeneous Type Spaces

在齐型空间上Herz空间中,通过范数概念定义了相应的有界平均震荡函数,进而利用调和分析中相关理论讨论了极大算子交换子的有界性,并给出具体证明过程,从而推广了该理论体系.

In this paper, we discuss the boundeness of the commutator of the maximal operator. In the course of proof, we use the decomposition characterization of Herz spaces on the homogeneous spaces.