The weighted L 1-Integrability of functions and the parseval equality with respect to multiplicative systems

被引：1

作者：

S. S. Volosivets

机构：

[1] Saratov State University, Saratov, 410012

来源：

Russian Mathematics | 2012年 / 56卷 / 8期

关键词：

Generalized monotonicity; Multiplicative systems of bounded type; Weighted L1-integrability;

D O I：

10.3103/S1066369X12080026

中图分类号：

学科分类号：

摘要：

In this paper we prove necessary and sufficient conditions for the weighted L1-integrability of functions defined on [0, 1) in terms of Fourier coefficients with respect to a multiplicative system of bounded type. These results are counterparts of trigonometric ones obtained by M. and S. Izumi and M. M. Robertson. © S.S. Volosivets, 2012.

引用

页码：11 / 21

页数：10

共 12 条

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