Jie Liu

works on

fourier support dependence 1 hermite-laguerre correspondence 1 operator estimates 1 schatten norms 1 symplectic fourier transform 1 weyl calculus 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.CA2026

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

Jie Liu

The paper investigates how the size of the Fourier support of a symbol influences Schatten‑class norm estimates for Weyl operators, providing sharper upper bounds and matching poly…

math.AG2024

Kawamata--Miyaoka type inequality for $Q$ -Fano varieties with canonical singularities

Haidong Liu, Jie Liu

Let $X$ be an $n$ -dimensional normal $Q$ -factorial projective variety with canonical singularities and Picard number one such that $X$ is smooth in codimension two, $- K_{X}$ …

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

Kawamata--Miyaoka type inequality for Q-Fano varieties with canonical singularities

Kawamata--Miyaoka type inequality for $Q$ -Fano varieties with canonical singularities