Extension of bounded holomorphic functions¶in convex domains

被引：0

作者：

Klas Diederich

Emmanuel Mazzilli

机构：

[1] Mathematik,

[2] Universität Wuppertal,undefined

[3] Gausstr. 20,undefined

[4] 42095 Wuppertal,undefined

[5] Germany e-mail: klas@math.uni-wuppertal.de,undefined

[6] UFR de Mathématiques Pures et Appliqués,undefined

[7] Universitéde Lille 1,undefined

[8] 59655 Villeneuve d'Ascq Cedex,undefined

[9] France. e-mail: Emmanuel.Mazzilli@agat.univ-lille1.fr,undefined

来源：

manuscripta mathematica | 2001年 / 105卷

关键词：

Mathematics Subject Classification (2000): 32A35, 32A26, 32F32, 32T25, 32T27;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：1 / 12

页数：11

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