李倩, 赵凯. 非双倍测度下参数型Marcinkiewicz积分多线性交换子的有界性[J]. 云南大学学报(自然科学版), 2017, 39(2): 165-171. doi: 10.7540/j.ynu.20160037
引用本文: 李倩, 赵凯. 非双倍测度下参数型Marcinkiewicz积分多线性交换子的有界性[J]. 云南大学学报(自然科学版), 2017, 39(2): 165-171. doi: 10.7540/j.ynu.20160037
LI Qian, ZHAO Kai. Boundedness of multilinear commutators of parameter Marcinkiewicz integral with non-doubling measures[J]. Journal of Yunnan University: Natural Sciences Edition, 2017, 39(2): 165-171. DOI: 10.7540/j.ynu.20160037
Citation: LI Qian, ZHAO Kai. Boundedness of multilinear commutators of parameter Marcinkiewicz integral with non-doubling measures[J]. Journal of Yunnan University: Natural Sciences Edition, 2017, 39(2): 165-171. DOI: 10.7540/j.ynu.20160037

非双倍测度下参数型Marcinkiewicz积分多线性交换子的有界性

Boundedness of multilinear commutators of parameter Marcinkiewicz integral with non-doubling measures

  • 摘要: 在参数型Marcinkiewicz积分M ρ的核函数满足较强的Hörmander条件下,利用非双倍测度的特性,证明了参数型Marcinkiewicz积分与Lipschitz函数生成的多线性交换子M bρ(f)在非双倍测度Morrey空间Mqp(μ)上的有界性,并得到了从非双倍测度Morrey空间分别到Lipschitz空间Lipβ-np(μ)和RBMO(μ)空间有界的结果.

     

    Abstract: Under the assumption that the kernel of M ρ satisfies certain slightly stronger Hörmander-type condition,by the properties of non-doubling measures,it proves that the multilinear commutators of parameter Marcinkiewicz integral M bρ(f) is bounded on the Morrey spaces for non-doubling measures.The boundedness from the Morrey spaces to the Lipschitz space Lipβ-np(μ) and RBMO(μ) space for non-doubling measures is obtained,respectively.

     

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