Proper holomorphic embeddings of finitely connected planar domains into a", n

被引：2

作者：

Majcen, Irena ^{[1
]}

机构：

[1] Math Inst, CH-3012 Bern, Switzerland

来源：

ARKIV FOR MATEMATIK | 2013年 / 51卷 / 02期

关键词：

RIEMANN SURFACES; APPROXIMATION;

D O I：

10.1007/s11512-012-0171-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider proper holomorphic embeddings of finitely connected planar domains into a", (n) that approximate given proper embeddings on smooth curves. As a side result we obtain a tool for approximating a diffeomorphism on a polynomially convex set in a", (n) by an automorphism of a", (n) that satisfies some additional properties along a real embedded curve.

引用

页码：329 / 343

页数：15

共 16 条

[1]

[Anonymous], 1985, ANAL REAL COMPLEX MA

[2]

[Anonymous], 1999, J. Geom. Anal., DOI [10.1007/BF02923090, DOI 10.1007/BF02923090]

[3]

Arakelian N.U., 1964, IZV AKAD NAUK SSSR M, V28, P1187

[4] Embeddings through discrete sets of balls [J].

Borell, Stefan ;

Kutzschebauch, Frank .

ARKIV FOR MATEMATIK, 2008, 46 (02) :251-269

[5] A Carleman type theorem for proper holomorphic embeddings [J].

Buzzard, GT ;

Forstneric, F .

ARKIV FOR MATEMATIK, 1997, 35 (01) :157-169

[6] APPROXIMATION OF BIHOLOMORPHIC-MAPPINGS BY AUTOMORPHISMS OF C(N) [J].

FORSTNERIC, F ;

ROSAY, JP .

INVENTIONES MATHEMATICAE, 1993, 112 (02) :323-349

[7] Bordered Riemann surfaces in C2 [J].

Forstneric, Franc ;

Wold, Erlend Fornaess .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2009, 91 (01) :100-114

[8] HOLOMORPHIC EMBEDDINGS OF PLANAR DOMAINS INTO C-2 [J].

GLOBEVNIK, J ;

STENSONES, B .

MATHEMATISCHE ANNALEN, 1995, 303 (04) :579-597

[9]

Kutzschebauch F, 2009, MATH Z, V262, P603, DOI 10.1007/s00209-008-0392-8

[10] Polynomial convexity and totally real manifolds [J].

Low, Erik ;

Wold, Erlend Fornaess .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2009, 54 (3-4) :265-281

← 1 2 →