Complete proper holomorphic embeddings of strictly pseudoconvex domains into balls

被引：10

作者：

Drnovsek, Barbara Drinovec ^{[1
,2
]}

机构：

[1] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia

[2] Inst Math Phys & Mech, SI-1000 Ljubljana, Slovenia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 431卷 / 02期

关键词：

Complete map; Proper holomorphic map; Peak function; INNER FUNCTIONS; UNIT BALL; SURFACE;

D O I：

10.1016/j.jmaa.2015.06.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a complete proper holomorphic embedding from any strictly pseudoconvex domain with C-2-boundary in C-n into the unit ball of C-N, for N large enough, thereby answering a question of Alarcon and Forstneric, 2013. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：705 / 713

页数：9

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