标题： 具有乘积结构的新类型傅里叶积分算子的有界性 显示英文标题

标题： Boundedness of New Type Fourier Integral Operators with Product Structure

摘要： 我们研究一类满足$\R^n$中多参数微分不等式的弱符号傅里叶积分算子。 我们证明这些算子保留经典的$L^p$有界性和$H^1$到$L^1$的有界性。 值得注意的是，此处考虑的 Hardy 空间是传统的单参数 Hardy 空间，而不是乘积 Hardy 空间。 显示英文摘要

摘要： We investigate a class of Fourier integral operators with weakened symbols, which satisfy a multi-parameter differential inequality in $\R^n$. We establish that these operators retain the classical $L^p$ boundedness and the $H^1$ to $L^1$ boundedness. Notably, the Hardy space considered here is the traditional single-parameter Hardy space rather than a product Hardy space.