Hardy-type inequalities for functions whose Fourier transforms have gaps

被引：0

作者：

M. S. Sababheh

机构：

[1] Princess Sumaya University For Technology,

[2] University of Sharjah,undefined

来源：

Journal of Contemporary Mathematical Analysis | 2015年 / 50卷

关键词：

Hardy’s inequality; Littlewood conjecture; Fourier transform inequalities; 42A05; 42A99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The original proof of the Littlewood conjecture was a special case of a more general inequality of functions whose Fourier coefficients have gaps. In this article, we prove similar inequalities, but treating the Fourier transform of a function integrable on the real line, rather than on the unit circle.

引用

页码：246 / 252

页数：6

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