Damping estimates for oscillatory integral operators with real-analytic phases and its applications
Classical Analysis and ODEs
2019-01-11 v2
Abstract
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 for suitably damped oscillatory integral operators, we are able to give a new proof of the sharp estimates which have been proved by Xiao in Endpoint estimates for one-dimensional oscillatory integral operators, \emph{Advances in Mathematics}, \textbf{316}, 255-291 (2017). The damping estimates obtained in this paper are of independent interest.
Keywords
Cite
@article{arxiv.1809.01298,
title = {Damping estimates for oscillatory integral operators with real-analytic phases and its applications},
author = {Zuoshunhua Shi and Shaozhen Xu and Dunyan Yan},
journal= {arXiv preprint arXiv:1809.01298},
year = {2019}
}
Comments
30 pages