1) α-quasicovex domains
α-拟凸域
2) strictly pseudoconvex domain
强拟凸域
1.
We obtain a continuous solution of -equation for a strictly pseudoconvex domain with non-smooth boundary on Stein manifolds,which doesn t involve integral on boundary.
利用Hermitian度量和陈联络,构造拓广的不变积分核,借助Stokes公式,探究Stein流形中具有非光滑边界强拟凸域上Koppelman-Leray-Norguet公式的拓广式及其-方程的连续解,其特点是不含边界积分,从而避免了边界积分的复杂估计,另外该拓广式的特点是含有可供选择的实参数m,m=2,3,…,P(P<+∞),适用范围更加广泛。
2.
By meams of ΓK manifolds introduced by Laurent-Thiebaut,et al,we constructed extend B-M(Bochner-Matinelli) kernel to study extension formula of Koppelman-Leray-Norguet formula and obtained a continuous solutions of -equation on a strictly pseudoconvex domain with non-smooth boundary in Cn space.
利用Laurent-Thiebaut等引进的ΓK流形,构造拓广的B-M(Bochner-Matinelli)新核,探究Cn空间中具有非光滑边界强拟凸域上Koppelman-Leray-Norguet公式的拓广式和-方程的连续解。
3.
In [1],an extensional formula of Leray-Norguet with weight factors of differential forms and weighted continuous solutions of the -equation on a strictly pseudoconvex domain with piecewise C(1) smooth boundaries in C n were obtained.
文[1]得到Cn空间中具有逐块C(1)光滑边界的强拟凸域上(0,q)形式的带权因子的Leray-Norguet公式的拓广式及-方程带权因子的连续解。
3) weakly quasiconvex domain
弱拟凸域
4) pseudoconvex domain
拟凸域
1.
A note of holomorphic automrphism group on a class of bounded pseudoconvex domains;
关于一类有界拟凸域全纯自同构群的一个注记
2.
In this article we study the analyticity dependence on the parameter of solutions to the equation on pseudoconvex domains.
本文作者研究拟凸域上的 -方程解关于参数的解析依赖性 。
3.
The holomorphic sectional curvatures under invariant Khler metrics on a class of pseudoconvex domains E(m,n,K) are given in the explicit forms.
本文对一类拟凸域Ｅ（ｍ，ｎ，Ｋ）给出其不变Ｋｈｌｅｒ度量下的全纯截曲率的显表达式。
5) quasiconvex domain
拟凸区域
6) quasi-α-remote field family
拟α-远域族
补充资料：凸域
凸域
convex domain
凸域t“目Vex水口越n;.ully翻”OO月acT列 具有内点的凸集(田nvex set)·
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条