Oscillation and variation inequalities for singular integrals and commutators on weighted Morrey spaces |
| |
Authors: | Jing Zhang Huoxiong Wu |
| |
Affiliation: | 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China2. School of Mathematics and Statistics, Yili Normal College, Yining 835000, China |
| |
Abstract: | 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. |
| |
Keywords: | Oscillation variation singular integrals commutators Morrey spaces weights |
本文献已被 SpringerLink 等数据库收录! |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
|
点击此处可从《Frontiers of Mathematics in China》下载全文 |