带振荡核奇异积分算子交换子在加权Morrey空间中的有界性质

BOUNDEDNESS OF COMMUTATORS FOR SINGULAR INTEGRAL OPERATORS WITH OSCILLATING KERNELS ON WEIGHTED MORREY SPACES

本文研究Morrey空间中的交换子有界性的问题.利用John-Nirenberg不等式等工具建立带振荡核的奇异积分算子与BMO函数生成交换子在加权Morrey空间中的加权估计.

In this paper, we study the boundedness of commutators on weighted Morrey spaces. By using John-Nirenberg inequality we obtain the weighted estimates for commutators formed by singular integral operators with oscillating kernels and BMO functions on weighted Morrey spaces.