Ziming Shi

collaborators

2 papers

math.CV2025

Sobolev and HÃ¶lder estimates for the $\partial$ equation on pseudoconvex domains of finite type in $C^{2}$

Ziming Shi

We prove a homotopy formula which yields almost sharp estimates in all (positive-indexed) Sobolev and HÃ¶lder-Zygmund spaces for the $\partial$ equation on pseudoconvex d…

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 HÃ¶lder-Zygmund spaces $I^^{r}$ …

Sobolev and HÃ¶lder estimates for the ∂ equation on pseudoconvex domains of finite type in C2

A homotopy formula for aq​ domains in complex manifolds

Sobolev and HÃ¶lder estimates for the $\partial$ equation on pseudoconvex domains of finite type in $C^{2}$

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