Local smoothing and Hardy spaces for Fourier integral operators on manifolds

Autor: Liu, Naijia, Rozendaal, Jan, Song, Liang, Yan, Lixin
Rok vydání: 2022
Předmět:
Zdroj: J. Funct. Anal. 286 (2024), no. 2, Paper No. 110221, 72 pp
Druh dokumentu: Working Paper
DOI: 10.1016/j.jfa.2023.110221
Popis: We introduce the Hardy spaces for Fourier integral operators on Riemannian manifolds with bounded geometry. We then use these spaces to obtain improved local smoothing estimates for Fourier integral operators satisfying the cinematic curvature condition, and for wave equations on compact manifolds. The estimates are essentially sharp, for all $2Comment: Section 2 moved to Appendix A, additional minor changes. To appear in Journal of Functional Analysis. 57 pages
Databáze: arXiv