A type of oscillatory integral operator and its applications
Analysis of PDEs
2022-01-05 v1 Classical Analysis and ODEs
Abstract
In this paper, we consider - 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.
Cite
@article{arxiv.2201.01021,
title = {A type of oscillatory integral operator and its applications},
author = {Chuanwei Gao and Jingyue Li and Liang Wang},
journal= {arXiv preprint arXiv:2201.01021},
year = {2022}
}
Comments
30pages,1figure