Damping estimates for oscillatory integral operators with real-analytic phases and its applications
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 Lp estimates which have been proved by Xiao in Endpoint estimates for one-dimensional oscillatory integral operators, Advances in Mathematics, 316, 255-291 (2017). The damping estimates obtained in this paper are of independent interest.
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