A type of oscillatory operator and its applications I

Speaker: Chuanwei Gao, Peking University

Title: A type of oscillatory operator and its applications I

Time & Venue: 2022.3.22 16:00-16:40 S415

Abstract: In this talk, we consider $L^p$- estimate for a class of oscillatory integral operators satisfying the Carleson-Sj\"olin conditions with further convex and straight assumptions. As applications, the multiplier problem related to a general class of hypersurfaces with nonvanishing Gaussian curvature, local smoothing estimates for the fractional Schr\"odinger equation and the sharp resolvent estimates outside of the uniform boundedness range are discussed.