Wermer Type Sets and Extension of CR Functions

被引：14

作者：

Harz, Tobias ^{[1
]}

Shcherbina, Nikolay ^{[1
]}

Tomassini, Giuseppe ^{[2
]}

机构：

[1] Berg Univ Wuppertal, Dept Math, D-42119 Wuppertal, Germany

[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2012年 / 61卷 / 01期

关键词：

envelopes of holomorphy; CR functions; strictly pseudoconvex domains; analytic structure; CONVEX HULLS;

D O I：

10.1512/iumj.2012.61.4507

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each n >= 2 we construct an unbounded closed pseudoconcave complete pluripolar set E in C-n which contains no analytic variety of positive dimension (we call it a Wermer type set). We also construct an unbounded strictly pseudoconvex domain Omega in C-n and a smooth CR function f on partial derivative Omega which has a single-valued holomorphic extension exactly to the set (Omega) over bar \E.

引用

页码：431 / 459

页数：29

共 18 条

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