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arXiv · 1710.10349

Sharp estimates for oscillatory integral operators via polynomial partitioning

Larry Guth·Jonathan Hickman·Marina Iliopoulou
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Abstract

The sharp range of $L^p$-estimates for the class of H\"ormander-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 utilises polynomial partitioning arguments.

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Larry Guth, Jonathan Hickman, Marina Iliopoulou. 2017-10-27. Sharp estimates for oscillatory integral operators via polynomial partitioning. https://arxiv.org/abs/1710.10349

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