Fourier integral operators on Hardy spaces with Hormander class

Xiaofeng Ye, Chunjie Zhang, Xiangrong Zhu

In this note, we consider a Fourier integral operator defined by \begin{align*} T_{ϕ,a}f(x) = \int_{\mathbb{R}^{n}}e^{iϕ(x,ξ)}a(x,ξ)\widehat{f} ξ)dξ, \end{align*}here $a$ is the am…