一类分数次Hardy算子的交换子在齐次Morrey-Herz空间上的有界性

Boundedness for Commutators of a Class of Fractional Hardy Operators on Homogeneous Morrey-herz Spaces

先介绍了一类分数次Hardy算子及交换子的概念,然后再结合齐次Morrey-Herz空间的定义,得到此类分数次Hardy算子和单侧二进CMO函数所生成的交换子在齐次Morrey-Herz空间上一些有界性性结果.

In this paper the concept of a class of fractional Hardy operators are introduced firstly. Then Combining 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--herz spaces.