Uniform Estimates for Oscillatory Integral Operators with Polynomial Phases

Zuoshunhua Shi

Published 2018-09-05Version 1

In this paper, we shall prove the uniform sharp $L^p$ 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 $L^p$ estimates of certain higher-dimensional oscillatory integral operators.