Bernstein and Nikol'skii type inequalities for entire functions of exponential type in Hardy spaces in tubes

被引:0
作者
Tovstolis, Alexander V. [1 ]
机构
[1] Univ Cent Florida, Dept Math, 4393 Andromeda Loop N, Orlando, FL 32816 USA
来源
JAEN JOURNAL ON APPROXIMATION | 2016年 / 8卷 / 01期
关键词
Bernstein type inequality; Nikol'skii type inequality; entire function of exponential type; Hardy space; tube over open cone;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Bernstein and Nikol'skii type inequalities for entire functions of exponential type which belong to Hardy spaces H-p (T-Gamma), 0 < p < infinity, are obtained. Here T-Gamma is a tube over an open cone, which is a multidimensional generalization of the upper halfplane.
引用
收藏
页码:59 / 73
页数:15
相关论文
共 24 条
[1]  
Boas R.P., 1954, ENTIRE FUNCTIONS
[2]   NIKOL'SKII INEQUALITIES FOR LORENTZ SPACES [J].
Ditzian, Z. ;
Prymak, A. .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (01) :209-223
[3]   A Markov-Nikolskii type inequality for absolutely monotone polynomials of order K [J].
Erdelyi, Tamas .
JOURNAL D ANALYSE MATHEMATIQUE, 2010, 112 :369-381
[4]  
Ganzburg M. I., 1982, UKR MAT ZH, V34, P749
[5]  
Ganzburg M.I., 1979, USPEKHI MAT NAUK, V34, P225
[6]  
Ganzburg M.I., 1982, UKRAINSKII MAT, V34, P607
[7]   Polynomial inequalities on measurable sets and their applications [J].
Ganzburg, MI .
CONSTRUCTIVE APPROXIMATION, 2001, 17 (02) :275-306
[8]  
Govil NK, 2003, MATH INEQUAL APPL, V6, P445
[9]  
Ibragimov I. I., 1960, IZV AKAD NAUK SSSR M, V24, P605
[10]  
Karlin S., 1966, TCHEBYCHEFF SYSTEMS, VXV