Best approximation in the supremum norm by analytic and harmonic functions

被引：5
作者：
Khavinson, D
Shapiro, HS
机构：
[1] Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
[2] Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden
来源：
ARKIV FOR MATEMATIK | 2001年 / 39卷 / 02期
关键词：
D O I：
10.1007/BF02384560
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：339 / 359
页数：21
相关论文
共 23 条
[1]   VANISHING L-1-SUMS OF THE POISSON KERNEL, AND SUMS WITH POSITIVE COEFFICIENTS [J].
BONSALL, FF ;
WALSH, D .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1989, 32 :431-447
[2]   DOMINATION OF THE SUPREMUM OF A BOUNDED HARMONIC FUNCTION BY ITS SUPREMUM OVER A COUNTABLE SUBSET [J].
BONSALL, FF .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1987, 30 :471-477
[3]  
Brelot M, 1945, B SOC MATH FRANCE, V73, P55
[4]  
Brown L., 1960, T AM MATH SOC, V96, p162 , DOI [DOI 10.1090/S0002-9947-1960-0142763-8, 10.2307/1993491]
[5]  
DENY J, 1949, ANN I FOURIER GRENOB, V1, P55
[6]  
Dunford N., 1958, LINEAR OPERATORS, VI
[7]  
Gamelin T., 1984, UNIFORM ALGEBRAS
[8]  
Garnett JB., 2007, Bounded Analytic Functions
[9]  
HAYMAN WK, 1984, ANNIVERSARY VOLUME A, P317
[10]   BEST UNIFORM APPROXIMATIONS VIA ANNIHILATING MEASURES [J].
HINTZMAN, W .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 76 (05) :1062-&
123