发表机构
University Assane Seck of Ziguinchor; University Gaston Berger of Saint-Louis（齐金乔尔阿萨内塞克大学; 圣路易加斯东贝热大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用Laville的$L^2$存在性定理，在任意有界伪凸星形域上建立$\partial\bar{\partial}$-Neumann算子的存在性，提出求解$\partial\bar{\partial}$的新方法。
AI 中文摘要
本文利用Guy Laville提供的$L^2$存在性定理，基于D. Spencer关于$\bar{\partial}$-Neumann的工作，在$\mathbb{C}^n$中任意有界伪凸星形域$\Omega$上建立$\partial\bar{\partial}$-Neumann算子的存在性定理。由此，我们获得了一种求解$\partial\bar{\partial}$的新方法。
英文摘要
In this paper, we shall use the $L^2$ existence theorems for $\partial\bar{\partial}$ provide by Guy Laville to etablish for existence theorem for the $\partial\bar{\partial}$-Neumann operator on any bounded pseudoconvex starred domaine $Ω$ in $\mathbb{C}^n$ based on the work of D. Spencer on the $\bar{\partial}$-Neumann. As a result, we obtain a new method for resolving the $\partial\bar{\partial}. $
