一些函数空间上带Dini核的Calderón-Zygmund算子的交换子

Commutators of Calderón-Zygmund Operators with Kernels of Dini’s Type on Some Function Spaces

本文主要建立了带Dini核的Calderón-Zygmund算子与加权Lipschitz函数生成的交换子在加权Lebesgue空间以及加权广义Morrey空间上的有界性.进一步,给出了带Dini核的奇异积分算子在加权中心Morrey空间上的加权λ-中心BMO估计.

In this paper,we obtain the boundedness of commutators generated by Calderon-Zygmund operators with kernels of Dini’s type and weighted Lipschitz functions on weighted Lebesgue spaces and generalized weighted Morrey space.Moreover,we also establish weightedλ-central BMO estimates for commutators on weighted central Morrey spaces.