Regularity of Fourier integrals on product spaces
Classical Analysis and ODEs
2024-08-29 v2
Abstract
We study a family of Fourier integral operators by allowing their symbols to satisfy a multi-parameter differential inequality on R^N. We show that these operators of order -(N-1)/2 are bounded from classical, atom decomposable H^1-Hardy space to L^1(R^N). Consequently, we obtain a sharp L^p-regularity result due to Seeger, Sogge and Stein.
Cite
@article{arxiv.2408.09691,
title = {Regularity of Fourier integrals on product spaces},
author = {Chaoqiang Tan and Zipeng Wang},
journal= {arXiv preprint arXiv:2408.09691},
year = {2024}
}
Comments
We corrected some typos and errors from the previous version