Ziming Shi

activity

20242026

collaborators

4 papers

math.CV2026

On $1/2$ estimate for global Newlander-Nirenberg theorem

Ziming Shi

Given a formally integrable almost complex structure $X$ defined on the closure of a bounded domain $D \subset C^{n}$ , and provided that $X$ is sufficiently close to the stan…

math.CA2025

Sobolev Differentiability Properties of Logarithmic Modulus of Real Analytic Functions

Ziming Shi, Ruixiang Zhang

Let $f$ be the germ of a real analytic function at the origin in $R^{n}$ for $n \geq 2$ , and suppose the codimension of the zero set of $f$ at $0$ is at least $2$ .…

math.CV2025

Global Newlander-Nirenberg theorem on domains with finite smooth boundary in complex manifolds

Xianghong Gong, Ziming Shi

Let $M$ be a relatively compact $C^{2}$ domain in a complex manifold $M$ of dimension $n$ . Assume that $H^{1} (M, I^) = 0$ where $I^$ is the sheaf of germs of holomorphic tangen…

math.AP2024

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

Ziming Shi

Let $u : I^c ◯ \subset C^{n} \to C^{m}$ , 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{…

On 1/2 estimate for global Newlander-Nirenberg theorem

Sobolev Differentiability Properties of Logarithmic Modulus of Real Analytic Functions

Global Newlander-Nirenberg theorem on domains with finite smooth boundary in complex manifolds

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

On $1/2$ estimate for global Newlander-Nirenberg theorem

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