Algebraic kernel functions and representation of planar domains

被引：3

作者：

Jeong, M ^{[1
]}

Taniguchi, M

机构：

[1] Univ Suwon, Dept Math, Suwon 445743, South Korea

[2] Kyoto Univ, Grad Sch Sci, Dept Math, Kyoto 606, Japan

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2003年 / 40卷 / 03期

关键词：

conformal representation; Ahlfors map; Bergman kernel; Szego kernel; algebraic function; canonical domain;

D O I：

10.4134/JKMS.2003.40.3.447

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the non-degenerate n-connected canonical domains with n > I related to the conjecture of S. Bell in [4]. They are connected to the algebraic property of the Bergman kernel and the Szego kernel. We characterize the non-degenerate doubly connected canonical domains.

引用

页码：447 / 460

页数：14

共 50 条

[31] Geometric computation of Christoffel functions on planar convex domains
Prymak, A.
JOURNAL OF APPROXIMATION THEORY, 2021, 268
[32] Christoffel functions on planar domains with piecewise smooth boundary
Prymak, A.
Usoltseva, O.
ACTA MATHEMATICA HUNGARICA, 2019, 158 (01) : 216 - 234
[33] Density of polynomials in classes of functions on products of planar domains
Gauthier, P. M.
Nestoridis, V.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 433 (01) : 282 - 290
[34] A categorical representation of algebraic domains based on variations of rough approximable concepts
Guo, Lankun
Li, Qingguo
Huang, Mengqiao
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2014, 55 (03) : 885 - 895
[35] THE SOLUTION TO THE DIRICHLET PROBLEM FOR POLYANALYTIC FUNCTIONS IN DOMAINS WITH ALGEBRAIC BOUNDARIES
RASULOV, KM
DIFFERENTIAL EQUATIONS, 1995, 31 (01) : 95 - 101
[36] LOWER BOUNDS FOR ALGEBRAIC COMPUTATION TREES OF FUNCTIONS WITH FINITE DOMAINS
BSHOUTY, NH
LECTURE NOTES IN COMPUTER SCIENCE, 1991, 497 : 55 - 65
[37] Representation theorems for directed completions of consistent algebraic L-domains
Xuxin Mao
Luoshan Xu
algebra universalis, 2005, 54 : 435 - 447
[38] Representation theorems for directed completions of consistent algebraic L-domains
Mao, XX
Xu, LS
ALGEBRA UNIVERSALIS, 2005, 54 (04) : 435 - 447
[39] Rational Approximation by Reproducing Kernel for Bergman Functions on Siegel Domains
Huang, Yun
Zhang, Dawei
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
[40] REPRESENTATION OF GEOMETRIC TYPES OF BOOLEAN FUNCTIONS IN THREE VARIABLES BY ALGEBRAIC THRESHOLD FUNCTIONS
Soshin, D. A.
PRIKLADNAYA DISKRETNAYA MATEMATIKA, 2016, 31 (01): : 32 - 45

← 1 2 3 4 5 →