Restricted Summability of Fourier Transforms and Local Hardy Spaces

被引：0

作者：

Ferenc WEISZ ^{[1
]}

机构：

[1] Department of Numerical Analysis, Etvs L. University

来源：

ActaMathematicaSinica(EnglishSeries) | 2010年 / 26卷 / 09期

关键词：

Wiener amalgam spaces; local Hardy spaces; θ-summability of Fourier transforms; atomic decomposition;

D O I：

暂无

中图分类号：

O174.22 [傅里叶积分（傅里叶变换）];

学科分类号：

070104 ;

摘要：

A general summability method, the so-called θ-summability is considered for multi-di-mensional Fourier transforms. Under some conditions on θ, it is proved that the maximal operator ofthe θ-means defined in a cone is bounded from the amalgam Hardy space W(h,l) to W(L,l).This implies the almost everywhere convergence of the θ-means in a cone for all f ∈W(L,l)  L.

引用

页码：1627 / 1640

页数：14

共 5 条

[1] Pointwise Convergence of Cone-like Restricted Two-dimensional Fejér Means of Walsh-Fourier Series
Gyrgy GT
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[J]. ActaMathematicaSinica(EnglishSeries), 2010, 26 (12) : 2295 - 2304
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