ON THE SIDON INEQUALITY FOR TRIGONOMETRIC POLYNOMIALS

被引：4

作者：

Radomskii, A. O. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Gubkin Str 8, Moscow 119991, Russia

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2018年 / 29卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Trigonometric polynomial; de la Vallee-Poussin kernel; Riesz product;

D O I：

10.1090/spmj/1510

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A lower estimate is established for the uniform norm of a special type trigonometric polynomial in terms of the sum of the L-1-norms of its summands in the case where the sequence of frequencies splits into finitely many lacunary sequences. The result refines theorems known for lacunary sequences and generalizes a result of Kashin and Temlyakov, which in its turn generalizes the classical Sidon inequality.

引用

页码：643 / 656

页数：14

共 19 条

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