Norm inequalities for higher-order commutators of one-sided oscillatory singular integrals

Abstract

Abstract In the present paper, we study the weighted norm inequalities for higher-order commutators formed by a class of one-sided oscillatory singular integrals and B M O $BMO$ functions. We obtain that the boundedness of these commutators can be deduced by that of one-sided Calderón-Zygmund singular integral operators.

Keywords

• commutator
• one-sided oscillatory integral
• one-sided weight