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

DOI10.1007/S00209-021-02944-YarXiv2006.01316MaRDI QIDQ6341874

Publication date: 1 June 2020

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.

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

This page was built for publication: Sharp $L^p$ estimates for oscillatory integral operators of arbitrary signature