INEQUALITIES IN SUMMABILITY THEORY OF FOURIER SERIES

被引：0

作者：

Weisz, Ferenc ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Numer Anal, H-1117 Budapest, Hungary

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2009年 / 3卷 / 03期

关键词：

Wiener amalgam spaces; Feichtinger's algebra; modulation spaces; Herz and Hardy spaces; theta-summability; Lebesgue points; WIENER AMALGAMS; CONVERGENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some recent results on a general summability method, the so-called theta-summability, are summarized for one-dimensional Fourier series. Natural choices of theta are investigated, i.e., if theta is in Wiener amalgam spaces, Feichtinger's algebra or modulation spaces. Sufficient and necessary conditions are given for the uniform and L-1 norm and a e. convergence of the theta-means sigma(theta)(n)f to the function f. The maximal operator of the theta-means is investigated and it is proved that it is bounded on L-p spaces and on Hardy spaces.

引用

页码：357 / 368

页数：12

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