Xianghong Gong

activity

20232026

collaborators

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2 papers · 1 filter

math.CV2025

Integrability of Koszul connections on complex vector bundles over domains in $C^{n}$

Xianghong Gong

We study invertible matrix solutions $A$ to the equation $A^{- 1} \partial A = ω^{(0, 1)}$ on a small open subset $U$ of the closure $M$ of a domain $M\subset{\mathbf…

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…

Integrability of Koszul connections on complex vector bundles over domains in Cn

A homotopy formula for aq​ domains in complex manifolds

Integrability of Koszul connections on complex vector bundles over domains in $C^{n}$

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