4 papers
estimates of trilinear oscillatory integrals of convolution type on
Yangkendi Deng, Zuoshunhua Shi, Dunyan Yan
This paper is devoted to estimates for trilinear oscillatory integrals of convolution type on . The phases in the oscillatory factors include smooth functions a…
Sharp Bounds for Oscillatory Integral Operators with Homogeneous Polynomial Phases
Danqing He, Zuoshunhua Shi
We obtain sharp bounds for oscillatory integral operators with generic homogeneous polynomial phases in several variables. The phases considered in this paper satisfy the ran…
Uniform Estimates for Oscillatory Integral Operators with Polynomial Phases
Zuoshunhua Shi
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 u…
Damping estimates for oscillatory integral operators with real-analytic phases and its applications
Zuoshunhua Shi, Shaozhen Xu, Dunyan Yan
In this paper, we investigate sharp damping estimates for a class of one dimensional oscillatory integral operators with real-analytic phases. By establishing endpoint estimates fo…