Lusin面积积分与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性
COMMUTATORS GENERATED BY LUSIN-AREA INTEGRAL AND LOCAL CAMPANATO FUNCTIONS ON GENERALIZED LOCAL MORREY SPACES

本文研究了Lusin面积积分及其交换子在广义局部Morrey空间的有界性.利用对Lusin面积积分μΩ，S的逐点估计及Hardy不等式，研究了Lusin面积积分μΩ，S在广义局部Morrey空间的有界性.类似地，还得到了Lusin面积积分μΩ，S与局部Campanato函数生成的交换子在广义局部Morrey空间的有界性，推广了已有的结果.
In the paper, the boundedness of the Lusin-area integral and its commutator on the generalized local Morrey spaces are established. Using the pointwise estimate of Lusin-area integral μΩ,S and Hardy inequality, we study the boundedness of the Lusin-area integral μΩ,S on the generalized local Morrey spaces, as well as the boundedness of the commutators generated by μΩ,S and local Campanato functions, which extend the previous results