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math.AP2019★ 3 cited
Improved variable coefficient square functions and local smoothing of Fourier integral operators
Chuanwei Gao, Changxing Miao, Jianwei-Urbain Yang
We establish certain square function estimates for a class of oscillatory integral operators with homogeneous phase functions. These results are employed to deduce a refinement of…
math.AP2019★ 2 cited
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 for the Fourier int…