Boundedness of rough oscillatory singular integral on Triebel-Lizorkin spaces

We give the boundedness on Triebel-Lizorkin spaces for oscillatory singular integral operators with polynomial phases and rough kernels of the form eiP(x)Ω(x)|x|−n, where Ω∈Llog+L(Sn−1) is homogeneous of degree zero and satisfies certain cancellation condition.