BOOTSTRAPPING WEIGHTED FOURIER INEQUALITIES

被引：2
|
作者：
Sinnamon, G. [1 ]
机构：
[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2009年 / 3卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Fourier transform; convolution; weight; positive operator;
D O I：
10.7153/jmi-03-34
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The theory of positive integral operators is applied to convolution operators, giving a method of producing new weighted Fourier inequalities from known ones. The new inequalities produced depend on six parameters; two real indices, two complex-valued measures, and two positive functions. The method may be iterated using the last inequality generated as input to the next stage.
引用
收藏
页码：341 / 346
页数：6
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