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math.AP2020★ 1 cited
Square function estimates and Local smoothing for Fourier Integral Operators
Chuanwei Gao, Bochen Liu, Changxing Miao +1
We prove a variable coefficient version of the square function estimate of Guth--Wang--Zhang. By a classical argument of Mockenhaupt--Seeger--Sogge, it implies the full range of sh…
math.AP2020
Improved local smoothing estimate for the fractional Schrödinger operator
Chuanwei Gao, Changxing Miao, Jiqiang Zheng
In this paper, we consider the local smoothing estimate of fractional Schrödinger operator with . Using the -broad "norm" estimate developed by Guth, we…