Sharp estimates for oscillatory integral operators via polynomial partitioning

The sharp range of L -estimates for the class of Hörmander-type oscillatory integral operators is established in all dimensions under a positive-definite assumption on the phase. This is achieved by generalising a recent approach of the first author for studying the Fourier extension operator, which...

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Bibliographic Details
Main Authors: Guth, Larry, Hickman, Jonathan, Iliopoulou, Marina
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: International Press of Boston 2021
Online Access:https://hdl.handle.net/1721.1/136252