SHARP MAXIMAL INEQUALITIES AND COMMUTATORS ON MORREY SPACES WITH NON-DOUBLING MEASURES
SHARP MAXIMAL INEQUALITIES AND COMMUTATORS ON MORREY SPACES WITH NON-DOUBLING MEASURES
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DOI：
10.11650/tjm.11.2007.781
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发表时间：
2007-01
影响因子：
0.4
通讯作者：
Y. Sawano;Hitoshi Tanaka
中科院分区：
文献类型：
--
作者：
Y. Sawano;Hitoshi Tanaka
本文对具有Radon测度$\mu$的Morrey空间建立了一个尖锐的极大不等式，它满足一定的增长条件，但不一定是加倍的.作为应用，我们得到了Morrey空间中奇异积分或分数次积分与RBMO函数生成的算子的有界性。
In this paper, we establish a sharp maximal inequality for Morrey spaces with a Radon measure $\mu$ satisfying certain growth condition, which is not necessarily doubling. As an application, we obtain the boundedness of commutators generated by singular integral or fractional integrals with RBMO functions in Morrey spaces.