Some remarks on the sparse dominations for commutators of multi(sub)linear operator

Abstract

Abstract We establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the W q $W_{q}$ condition. As consequences, we present some quantitative weighted estimates for the commutators. In addition, we also obtain the Fefferman–Stein inequality, the Coifman–Fefferman inequality, and the local decay estimates regarding the iterated commutators.

Keywords

• Iterated commutators
• Sparse dominations
• Fefferman–Stein inequality
• Coifman–Fefferman inequality
• Local decay estimates