Weighted $L^p$-boundedness for higher order commutators of oscillatory singular integrals

Yong Ding, Shanzhen Lu
1996 Tohoku mathematical journal  
In this paper the authors study the weighted Lp-boundedness for higher order commutators of a class of oscillatory singular integrals with rough kernel. The main result in this paper gives a necessary and sufficient condition so that this higher order commutator is bounded on the weighted Lp space with certain weight.
doi:10.2748/tmj/1178225342 fatcat:7uepe2cdjrh5vjpnt4p3nag56a