HOLOMORPHIC EXTENSION OF CR-FUNCTIONS WITH SINGULARITIES ON A HYPERSURFACE

被引：0

作者：

KYTMANOV, AM

机构：

来源：

MATHEMATICS OF THE USSR-IZVESTIYA | 1990年 / 54卷 / 06期

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D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let OMEGA be a Stein manifold of dimension n greater-than-or-equal-to 2, let G be a domain which is relatively compact in OMEGA with OMEGA\GBAR connected, and let K subset-of GBAR with K = K(OMEGA). It is shown that any CR-function f which is defined on GAMMA = partial derivative G\K extends holomorphically to G\K. A local version of this assertion is also obtained.

引用

页码：681 / 691

页数：11

共 19 条

[1]

CHIRKA EM, 1979, DOKL AKAD NAUK SSSR+, V244, P300

[2]

CHIRKA EM, 1979, CURRENTS SOME THEIR, P122

[3]

GOLOVIN VD, 1986, HOMOLOGY ANAL SHEAVE

[4]

H?rmander, 1973, INTRO COMPLEX ANAL S

[5]

Hayman W. K., 1976, SUBHARMONIC FUNCTION, VI

[6]

HENKIN GM, 1981, CR ACAD SCI I-MATH, V292, P27

[7]

KHENKIN GM, 1984, DOKL AKAD NAUK SSSR+, V274, P553

[8]

KHENKIN GM, 1985, ITOGI NAUKI TEKHNIKI, V7, P23

[9]

KYTMANOV AM, 1988, MAT SBORNIK, V136, P178

[10] THE EXTENSION OF CR FUNCTIONS IN A STEIN MANIFOLD [J].

LAURENTTHIEBAUT, C .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 150 :141-151

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