Fourier transforms on an amalgam type space

被引：3
|
作者：
Liflyand, E. [1 ]
机构：
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
来源：
MONATSHEFTE FUR MATHEMATIK | 2013年 / 172卷 / 3-4期
关键词：
Amalgam space; Fourier transform; Integrability; Bounded variation; INTEGRABILITY;
D O I：
10.1007/s00605-013-0562-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce an amalgam type space, a subspace of . Integrability results for the Fourier transform of a function with the derivative from such an amalgam space are proved. As an application, we obtain conditions for the integrability of trigonometric series.
引用
收藏
页码：345 / 355
页数：11
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