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μ?,S的逐点估计及Hardy不等式,研究了Lusin面积积分μ?,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μ?,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 μ?,Sand Hardy inequality, we study the boundedness of the Lusin-area integral μ?,Son the generalized local Morrey spaces, as well as the boundedness of the commutators generated by μ?,Sand local Campanato functions,which extend the previous results.
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