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

作者：Zhang, Jing; Wu, Huoxiong^*

来源：Frontiers of Mathematics in China, 2016, 11(2): 423-447.

DOI：10.1007/s11464-015-0462-2

• Oscillation
• variation
• singular integrals
• commutators
• Morrey spaces
• weights

This paper is devoted to investigating the bounded behaviors of the oscillation and variation operators for Caldern-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.

• 出版日期2016-4
• 单位伊犁师范大学; 厦门大学