Extension of bounded holomorphic functions in convex domains

被引：14
|
作者：
Diederich, K
Mazzilli, E
机构：
[1] Univ Wuppertal, D-42095 Wuppertal, Germany
[2] Univ Lille 1, UFR Math Pures & Appl, F-59655 Villeneuve Dascq, France
来源：
MANUSCRIPTA MATHEMATICA | 2001年 / 105卷 / 01期
关键词：
D O I：
10.1007/s002290170007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The E. Amar and G. Henkin theorem on the bounded extendability of bounded holomorphic functions from certain closed complex submanifolds of strictly pseudoconvex domains to the whole domain is generalized to the case of finite type convex domains and their intersections with affine linear hyperplanes. Suitable integral operators of Berndtsson-Andersson type are constructed and estimated for this purpose.
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页码：1 / 12
页数：12
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