Distributional boundary values of holomorphic functions on product domains

被引：1

作者：

Chakrabarti, Debraj ^{[1
]}

Shafikov, Rasul ^{[2
]}

机构：

[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

[2] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

来源：

MATHEMATISCHE ZEITSCHRIFT | 2017年 / 286卷 / 3-4期

基金：

加拿大自然科学与工程研究理事会;

关键词：

MAPPINGS;

D O I：

10.1007/s00209-016-1796-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that holomorphic functions of polynomial growth on domains with corners have distributional boundary values in an appropriate sense, provided the corners are generic CR manifolds. We also prove an analog of the Bochner-Hartogs theorem for these boundary values for the simplest such domains, the product domains.

引用

页码：1145 / 1171

页数：27

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