Holomorphic applications of nonbounded circular domains

被引：0

作者：

Loeb, JJ

机构：

[1] Univ Angers, Dept Math, F-49045 Angers 01, France

[2] Univ Angers, Math Lab, F-49045 Angers, France

来源：

PUBLICACIONS MATEMATIQUES | 2006年 / 50卷 / 01期

关键词：

complete circular domains; self holomorphic map;

D O I：

10.5565/PUBLMAT_50106_08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give several extensions to unbounded domains of the following classical theorem of H. Cartan: A biholomorphism between two bounded complete circular domains of C-n which fixes the origin is a linear map. In our paper, pseudo-convexity plays a main role. Some precise study is done for the case of dimension two and the case where one of the domains is C-n.

引用

页码：149 / 165

页数：17

共 50 条

[21] Bavrin's Type Factorization of the Temljakov Operator for Holomorphic Functions in Circular Domains of Cn
Dlugosz, Renata
Liczberski, Piotr
Trybucka, Edyta
COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (05) : 1321 - 1335
[22] SCHWARZ-LEMMA FOR CIRCULAR DOMAINS AND ITS APPLICATIONS
SADULLAEV, A
MATHEMATICAL NOTES, 1980, 27 (1-2) : 120 - 125
[23] GEOMETRY OF QUASI-CIRCULAR DOMAINS AND APPLICATIONS TO TETRABLOCK
Kosinski, Lukasz
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (02) : 559 - 569
[24] Proper holomorphic self-maps of quasi-circular domains in C2
Coupet, B
Pan, Y
Sukhov, A
NAGOYA MATHEMATICAL JOURNAL, 2001, 164 : 1 - 16
[25] INTEGRAL-REPRESENTATIONS WITH SZEGO KERNELS FOR FUNCTIONS HOLOMORPHIC IN UNBOUNDED NORMAL-CIRCULAR DOMAINS
AIZENBERG, LA
EGORYCHEV, GP
DOKLADY AKADEMII NAUK SSSR, 1976, 231 (02): : 265 - 268
[26] POLYNOMIAL FUNCTIONS ON HOLOMORPHIC DOMAINS
PFLUG, P
MATHEMATISCHE ZEITSCHRIFT, 1974, 139 (02) : 133 - 139
[27] On Holomorphic Coverings of Planar Domains
V. N. Dubinin
Mathematical Notes, 2022, 112 : 674 - 684
[28] HOLOMORPHIC FIBRATIONS OF BOUNDED DOMAINS
HUCKLEBERRY, A
MATHEMATISCHE ANNALEN, 1977, 227 (01) : 61 - 66
[29] BOUNDEDLY HOLOMORPHIC CONVEX DOMAINS
KIM, DS
PACIFIC JOURNAL OF MATHEMATICS, 1973, 46 (02) : 441 - 449
[30] Uniform domains on holomorphic curves
Arbelaez, Hugo
Chuaqui, Martin
Sierra, Willy
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2015, 60 (07) : 1015 - 1031

← 1 2 3 4 5 →