Uniform Estimates for Oscillatory Integral Operators with Polynomial Phases
Classical Analysis and ODEs
2019-06-12 v2
Abstract
In this paper, we shall prove the uniform sharp decay estimates for a class of oscillatory integral operators with polynomial phases. By this one-dimensional result, we can use the rotation method to obtain uniform sharp estimates of certain higher-dimensional oscillatory integral operators.
Cite
@article{arxiv.1809.01300,
title = {Uniform Estimates for Oscillatory Integral Operators with Polynomial Phases},
author = {Zuoshunhua Shi},
journal= {arXiv preprint arXiv:1809.01300},
year = {2019}
}
Comments
48 pages