Quantitative Fourier Restriction Estimates for Weyl Operators: Fourier-Support Dependence and Lower Bounds

Jie Liu

The Weyl calculus associates a function $a$ on phase space ${\mathbb{R}}^{2d}$ with the corresponding Weyl operator $L_a$ acting on $L^2({\mathbb{R}}^d)$. At $p=2$, this correspondence…