Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces

被引：0
|
作者：
Jing Zhang
Huoxiong Wu
机构：
[1] Xiamen University,School of Mathematical Sciences
[2] Yili Normal College,School of Mathematics and Statistics
来源：
Frontiers of Mathematics in China | 2016年 / 11卷
关键词：
Oscillation; variation; singular integrals; commutators; Morrey spaces; weights; 42B20; 42B25; 27G10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is devoted to investigating the bounded behaviors of the oscillation and variation operators for Calderón-Zygmund singular integrals and the corresponding commutators on the weighted Morrey spaces. We establish several criterions of boundedness, which are applied to obtain the corresponding bounds for the oscillation and variation operators of Hilbert transform, Hermitian Riesz transform and their commutators with BMO functions, or Lipschitz functions on weighted Morrey spaces.
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页码：423 / 447
页数：24
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