TWO-SIDED ESTIMATES OF THE LEBESGUE CONSTANTS WITH RESPECT TO VILENKIN SYSTEMS AND APPLICATIONS

被引：12

作者：

Blahota, I. ^{[1
]}

Persson, L. E. ^{[2
,3
]}

Tephnadze, G. ^{[2
,4
]}

机构：

[1] Univ Nyiregyhaza, Inst Math & Comp Sci, POB 166, H-4400 Nyiregyhaza, Hungary

[2] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden

[3] Artic Univ Norway, UiT, POB 385, N-8505 Narvik, Norway

[4] Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, Chavchavadze Str 1, GE-0128 Tbilisi, Georgia

来源：

GLASGOW MATHEMATICAL JOURNAL | 2018年 / 60卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1017/S0017089516000549

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive two-sided estimates of the Lebesgue constants for bounded Vilenkin systems, we also present some applications of importance, e.g., we obtain a characterization for the boundedness of a subsequence of partial sums with respect to Vilenkin-Fourier series of H-1 martingales in terms of n,s variation. The conditions given in this paper are in a sense necessary and sufficient.

引用

页码：17 / 34

页数：18

共 13 条

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