Sharp $L^p$ estimates for oscillatory integral operators of arbitrary signature
Classical Analysis and ODEs
2020-06-18 v2
Abstract
The sharp range of -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.
Keywords
Cite
@article{arxiv.2006.01316,
title = {Sharp $L^p$ estimates for oscillatory integral operators of arbitrary signature},
author = {Jonathan Hickman and Marina Iliopoulou},
journal= {arXiv preprint arXiv:2006.01316},
year = {2020}
}
Comments
Introduction expanded. Figures added. 46 pages, 5 figures