Reinhardt域的特殊多面体

单项式多面体的Bergman核

Bergman kernels of Monomial Polyhedra

本文针对单项式多面体这类有界伪凸Reinhardt域，利用Bell变换公式显式计算其Bergman核，并证明所得核为有理函数。

特殊Reinhardt域类中的真全纯映射

Proper holomorphic mappings in the special class of Reinhardt domains

给出了$\C^2$中所有伪凸Reinhardt域类中域之间的真全纯映射的一个完整刻画，其对数象为一条或一个半平面.

具有非紧自同构群的Reinhardt域

Reinhardt Domains with Non-Compact Automorphism Groups

给出了具有非紧自同构群的光滑有界Reinhardt域的一个显式刻画。特别是，这种描述证实了格林/克兰茨猜想的一个特例。

Reinhardt域中单项基核的稳定性

Stability of the Monomial Basis Kernel of Reinhardt domains

研究Reinhardt域中p-单项基核(p-MBK)的稳定性，证明其在参数p下连续，并探讨索引集S_p(Ω)的结构特性。

Newton polyhedra and order of contact on real hypersurfaces

The purpose of this paper is to investigate order of contact on real hypersurfaces in ${\mathbb C}^n$ by using Newton polyhedra which are important notion in the study of singularity theory. To be more precise, an equivalence condition for the equality of regular type and singular type is given by using the Newton polyhedron of a defining function for the respective hypersurface. Furthermore, a sufficient condition for this condition, which is more useful, is also given. This sufficient condition is satisfied by many earlier known cases (convex domains, pseudoconvex Reinhardt domains and pseud…

Reinhardt 域的加权再生核

The weighted reproducing kernels of the Reinhardt domain

该研究建立包含原点的 Reinhardt 域上加权 Bergman 空间及其 Bergman 核的一般表示公式，并据此求出三类域中特殊权重对应核函数的具体表达式。