齐型空间上的Morrey空间广义极大算子的有界性

Boundedness of Generalized Maximal Operators in Morrey Spaces on Homogeneous Spaces

主要讨论了齐型空间上的Morrey空间极大算子的有界性,得到了极大算子Mq与M的一个等价关系,即Mq是Lp,(X,μ)到Lp,(X+,β)有界的等价M的有界性.

In this paper, we will discuss boundedness of maximal operators in Morrey spaces, and obtain an equivalent relation between maximal operators Mq and M , that is ｜｜Mf｜｜L^p,φ（X^＋β）≤C｜｜f｜｜L^p,φ（X,μ）←→｜｜Mqf｜｜L^p,φ（X^＋,β）≤C｜｜f｜｜L^p,φ（X,μ）.