Weighted norm inequalities for fractional oscillatory integrals and applications

Abstract

We set up some weighted norm inequalities for fractional oscillatory integral operators. As applications, the corresponding results for commutators formed by $BMO({\mathbb{R}}^n)$ functions and the operators are established.

13 pages

Cited by in corpus (1)

• Boundedness of oscillatory integral operators and their commutators on weighted Morrey spaces