Weighted estimates for commutators associated to singular integral operator satisfying a variant of Hörmander's condition

Abstract

In this paper, we establish some boundedness for commutators generated by the singular integral operator satisfying a variant of Hörmander's condition and a weighted BMO function on weighted Hardy spaces and weighted Herz spaces. As an application, we obtain some classical results.

Keywords

• a variant of hörmander's condition
• commutators
• bmo space
• weighted hardy space
• weighted herz space