An application of Chen’s theorem to convergence of Fourier multiplier transforms

被引：0

作者：

Xian-liang Shi

Yang Chen

Lan Hu

机构：

[1] Hunan Normal University,College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing (HPCSIP) (Ministry of Education of China)

来源：

Applied Mathematics-A Journal of Chinese Universities | 2013年 / 28卷

关键词：

Fourier transform; multiplier; summability; convergence; almost everywhere; 41A35; 42B15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let V be a star shaped region. In 2006, Colzani, Meaney and Prestini proved that if function f satisfies some condition, then the multiplier transform with the characteristic function of tV as the multiplier tends to f almost everywhere, when t goes to ∞. In this paper we use a Theorem established by K.K.Chen to show that if we change their multiplier, then the condition on f can be weakened.

引用

页码：455 / 464

页数：9