摘要
设(X,d,μ)是一个满足上双倍条件和几何双倍条件的非齐度量测度空间,对一类非齐度量测度空间上的Morrey-Herz空间,利用非齐度量测度空间的性质,并借助奇异积分算子在L^p空间上的有界性理论,证明Marcinkiewicz积分算子及其与RBMO函数生成的交换子在非齐度量测度Morrey-Herz空间上的有界性.
Let(X,d,μ)be a non-homogeneous metric measure space satisfying the upper doubling and the geometrically doubling conditions.For a class of Morrey-Herz spaces on the non-homogeneous metric measure spaces,by using the properties of the non-homogeneous metric measure spaces and the theory of boundedness for singular integral operators on the L^p spaces,we proved the boundedness of the Marcinkiewicz integral operator and its commutator generated by RBMO function on the Morrey-Herz spaces with non-homogeneous metric measure.
作者
宋福杰
赵凯
SONG Fujie;ZHAO Kai(Department of Mathematics and Physics,Qingdao Huanghai University,Qingdao 266427,Shandong Province,China;School of Mathematics and Statistics,Qingdao University,Qingdao 266071,Shandong Province,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2020年第2期219-224,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11471176).
