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

页码：345 / 355

页数：11

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