On defining functions and cores for unbounded domains. III

被引：4

作者：

Harz, T. ^{[1
]}

Shcherbina, N. ^{[1
]}

Tomassini, G. ^{[2
]}

机构：

[1] Univ Wuppertal, Dept Math, Wuppertal, Germany

[2] Scuola Normale Super Pisa, Pisa, Italy

来源：

SBORNIK MATHEMATICS | 2021年 / 212卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

strictly pseudoconvex domains; plurisubharmonic defining functions; core of a domain; LEVI PROBLEM; PLURISUBHARMONIC-FUNCTIONS; COMPLEX;

D O I：

10.1070/SM8898

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the authors' results on existence of global defining functions to a number of different settings. In particular, we relax the assumption on strict pseudoconvexity of the domain to strict q-pseudo-convexity and we consider more general situations, where the ambient space is an almost complex manifold or a complex space. We also investigate to what extent the assumption on smoothness of the boundary of the domains under consideration is necessary in our results.

引用

页码：859 / 885

页数：27

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