Author

Han Cheng

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

Endpoint Mapping Properties of Wave Operators for Schr\"odinger Operators in Dimensions $n\ge3$

We study endpoint mapping properties of low-energy wave operators for Schr\"odinger operators $H=-\Delta+V$ on $\mathbb R^n$, $n\ge3$. In dimension four, we prove that a zero-energy resonance prevents $L^1$ boundedness, whether or not zero is also an eigenvalue, under $|V(x)|\lesssim\langle x\rangle^{-\beta}$ with $\be...

Han Cheng, Chang-Xing Miao, Xiao-Hua Yao · 0 citations

Preprint Aug 2026

Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schr\"odinger Operators

We establish sharp endpoint mapping properties for the wave operators $W_\pm(H,-\Delta)$ of two-dimensional Schr\"odinger operators $H=-\Delta+V$ with real-valued decaying potentials $V$. Together with the known non-endpoint $L^p$ theory, our results give a complete classification of the $L^p$ mapping properties of the...

Han Cheng, Chang-Xing Miao, Xiao-Hua Yao · 1 citation