Ziming Shi

collaborators

2 papers

math.CV2025

A homotopy formula for $a_{q}$ domains in complex manifolds

Xianghong Gong, Ziming Shi

We construct a global homotopy formula for $a_{q}$ domains in a complex manifold. The homotopy operators in the formula will gain $1/2$ derivative in Hölder-Zygmund spaces $Λ^{r}$ wh…

math.AP2024

A unique continuation property for $∣ \partial u ∣ \leq V ∣ u ∣$

Ziming Shi

Let $u : Ω \subset C^{n} \to C^{m}$ , for $n \geq 2$ and $m \geq 1$ . Let $1 \leq p \leq 2$ , and $2 (2 n)^{2} - 1 \leq q < \infty$ such that $\displaystyle \frac{1}{p} + \frac{1…

A homotopy formula for aq​ domains in complex manifolds

A unique continuation property for ∣∂u∣≤V∣u∣

A homotopy formula for $a_{q}$ domains in complex manifolds

A unique continuation property for $∣ \partial u ∣ \leq V ∣ u ∣$