分数次Hardy算子的交换子在齐次Morrey-Herz空间上的有界性

Boundedness for Commutators of Fractional Hardy Operators On Homogeneous Morrey-Herz Spaces

先介绍了经典的分数次Hardy算子及交换子的概念,然后再结合齐次Morrey-Herz空间的定义.得到类分数次Hardy算子和单侧二进CMO函数所生成的交换子在齐次Morrey-Herz空间上一些有界性结果.

In this paper the concept of classical fractional Hardy operators and commutators are introduced firstly. Then according to the definition of homogeneous Morrey--Herz spaces,some boundedness results are established for the commutators generated by the fractional Hardy operators and one--sided dyadic CMO functions on homogeneous Morrey--Hera spaces.