An L2 inequality for rational functions

被引：0

作者：

Qazi, M. A. ^{[1
]}

Rahman, Q. I. ^{[2
]}

机构：

[1] Tuskegee Univ, Dept Math, Tuskegee, AL 36088 USA

[2] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 07期

关键词：

rational functions; L-2; inequalities; Hardy class H-2;

D O I：

10.1080/17476930903568365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an L-2 inequality for rational functions having all their poles in the open unit disc and as a corollary obtain an inequality for functions belonging to the Hardy class H-2 of power series Sigma a(j)z(j) with Sigma vertical bar a(j)vertical bar(2) < infinity.

引用

页码：657 / 668

页数：12

共 50 条

[1] ON THE ZEROS OF L' + L2 FOR CERTAIN RATIONAL FUNCTIONS-L
SHEILSMALL, T
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 107 (04) : 1013 - 1016
[2] Extremal functions for the sharp L2 -: Nash inequality
Humbert, E
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2005, 22 (01) : 21 - 44
[3] L(P) EXTENSIONS OF GONCHAR INEQUALITY FOR RATIONAL FUNCTIONS
LEVIN, AL
SAFF, EB
RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS, 1993, 76 (01) : 199 - 210
[4] Plancherel–Pólya Inequality for Entire Functions of Exponential Type in L2(ℝ)
E. V. Berestova
Analysis Mathematica, 2018, 44 : 43 - 50
[5] Asymptotic error estimates for L2 best rational approximants to Markov functions
Baratchart, L
Stahl, H
Wielonsky, F
JOURNAL OF APPROXIMATION THEORY, 2001, 108 (01) : 53 - 96
[6] L2 FORM OF BERNSTEINS INEQUALITY
BACKUS, GE
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1979, 76 (07) : 3061 - 3064
[7] CARLEMAN INEQUALITY FOR L2 KERNELS
COCHRAN, JA
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (01): : 111 - &
[8] An optimal L2 autoconvolution inequality
White, Ethan Patrick
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2024, 67 (01): : 108 - 121
[9] AN INEQUALITY FOR RATIONAL FUNCTIONS
SMITH, JC
AMERICAN MATHEMATICAL MONTHLY, 1985, 92 (10): : 740 - 741
[10] AN INEQUALITY FOR RATIONAL FUNCTIONS
WIDOM, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (02) : 415 - &

← 1 2 3 4 5 →