ON AN OBSERVATION OF SIBONY

被引：7

作者：

Chakrabarti, Debraj ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 08期

基金：

美国国家科学基金会;

关键词：

HOLOMORPHIC-FUNCTIONS;

D O I：

10.1090/proc/14476

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that if the boundary of a Reinhardt domain in C-n contains the origin, then the origin has a neighborhood to which each holomorphic function on the domain which is infinitely many times differentiable up to the boundary extends holomorphically.

引用

收藏

页码：3451 / 3454

页数：4

相关论文

共 11 条

[1] On the theory of singularity of the functions of several complex variables. The convergence problem of the regularity covers. [J].

Behnke, H ;

Thullen, P .

MATHEMATISCHE ANNALEN, 1933, 108 :91-104

[2]

CATLIN D, 1980, J DIFFER GEOM, V15, P605

[3] Lp MAPPING PROPERTIES OF THE BERGMAN PROJECTION ON THE HARTOGS TRIANGLE [J].

Chakrabarti, Debraj ;

Zeytuncu, Yunus E. .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (04) :1643-1653

[4]

DIEDERICH K, 1977, MATH ANN, V225, P275, DOI 10.1007/BF01425243

[5] THE BERGMAN PROJECTION ON FAT HARTOGS TRIANGLES: Lp BOUNDEDNESS [J].

Edholm, L. D. ;

Mcneal, J. D. .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (05) :2185-2196

[6] BERGMAN THEORY OF CERTAIN GENERALIZED HARTOGS TRIANGLES [J].

Edholm, Luke D. .

PACIFIC JOURNAL OF MATHEMATICS, 2016, 284 (02) :327-342

[7] SPECTRUM OF FRECHET ALGEBRA OF REGULAR WEAKLY PSEUDOCONVEX BOUNDED DOMAINS [J].

HAKIM, M ;

SIBONY, N .

JOURNAL OF FUNCTIONAL ANALYSIS, 1980, 37 (02) :127-135

[8]

Jarnicki M, 2008, EMS TEXTB MATH, P1

[9]

Jarnicki Marek., 1997, ANN POL MATH, V65, P253

[10]

Range R. Michael, 1986, GRADUATE TEXTS MATH, V108, DOI 10.1007/978-1-4757-1918-5