Generalized convexity: The case of lineally convex Hartogs domains

被引：2

作者：

Kiselman, Christer Oscar ^{[1
]}

机构：

[1] Uppsala Univ, Dept Informat Technol, POB 337, SE-75105 Uppsala, Sweden

来源：

ANNALES POLONICI MATHEMATICI | 2019年 / 123卷 / 01期

关键词：

convexity; lineal convexity; generalized convexity; Hartogs domains;

D O I：

10.4064/ap180930-3-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inspired by mathematical morphology we study generalized convexity and prove that certain subsets of Hartogs domains are convex in a generalized sense.

引用

页码：319 / 344

页数：26

共 13 条

[1]

Andersson M., 2004, Complex Convexity and Analytic Functionals

[2]

[Anonymous], AN ACAD BRASIL CI

[3]

[Anonymous], 1994, PROGR MATH

[4] The theory of the functions of several complex variables. Convexity in relation to analytical levels in small and large convexes. [J].

Behnke, H ;

Peschl, E .

MATHEMATISCHE ANNALEN, 1935, 111 :158-177

[5]

Bourbaki N., 1961, TOPOLOGIE GEN ELEMEN

[6] Blaschke-type conditions on unbounded domains, generalized convexity, and applications in perturbation theory [J].

Favorov, Sergey ;

Golinskii, Leonid .

REVISTA MATEMATICA IBEROAMERICANA, 2015, 31 (01) :1-32

[7]

Kiselman C.O., 1996, ACTA MATH VIETNAMICA, V21, P69

[8]

Kiselman C. O., 2015, BANACH CTR PUBL, V107, P159

[9] Inverses and quotients of mappings between ordered sets [J].

Kiselman, Christer O. .

IMAGE AND VISION COMPUTING, 2010, 28 (10) :1429-1442

[10] SUR LA TOPOLOGIE DES ESPACES DE FONCTIONS HOLOMORPHES [J].

MARTINEAU, A .

MATHEMATISCHE ANNALEN, 1966, 163 (01) :62-+

← 1 2 →