Monotone extremal functions and the weighted Hilbert's inequality

被引：1

作者：

Carneiro, Emanuel ^{[1
]}

Littmann, Friedrich ^{[2
]}

机构：

[1] ICTP Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy

[2] North Dakota State Univ, Dept Math, Fargo, ND 58105 USA

来源：

PORTUGALIAE MATHEMATICA | 2024年 / 81卷 / 1-2期

关键词：

Extremal functions; exponential type; monotonicity; weighted Hilbert's inequality;

D O I：

10.4171/PM/2109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we find optimal one-sided majorants of exponential type for the signum function subject to certain monotonicity conditions. As an application, we use these special functions to obtain a simple Fourier analysis proof of the (non -sharp) weighted Hilbert- Montgomery-Vaughan inequality.

引用

页码：127 / 134

页数：8

共 10 条

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