Square function inequality for oscillatory integral operators satisfying homogeneous Carleson-Sjölin type conditions

Chuanwei Gao, Changxing Miao, Jianwei-Urbain Yang

In this paper, we establish an improved variable coefficient version of square function inequality, by which the local smoothing estimate $L_{\hat{I}}^p\pm \to L^p$ for the Fourier in…