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arXiv · 2006.01316

Sharp $L^p$ estimates for oscillatory integral operators of arbitrary signature

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 general signature assumption on the phase. This simultaneously generalises earlier work of the authors and Guth, which treats the maximal signature case, and also work of Stein and Bourgain--Guth, which treats the minimal signature case.

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Jonathan Hickman, Marina Iliopoulou. 2020-06-01. Sharp $L^p$ estimates for oscillatory integral operators of arbitrary signature. https://arxiv.org/abs/2006.01316

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