Sharp estimates for oscillatory integral operators via polynomial partitioning
Name
1710.10349.pdf
Description
Accepted version
Size
1.11 MB
Format
Adobe PDF
Checksum (MD5)
8e7f1e3547a6f859aebd4c34b98a877f
Author(s)
Guth, Larry
Hickman, Jonathan
Iliopoulou, Marina
Date Issued
2019
Journal
Acta Mathematica
Publisher
International Press of Boston
Version
Author's final manuscript
Abstract
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 utilises polynomial partitioning arguments. The main result implies improved bounds for the Bochner–Riesz conjecture in dimensions (Formula Presented). p
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4310/ACTA.2019.V223.N2.A2
