Strong convergence theorem for Vilenkin-Fejer means

被引：21

作者：

Blahota, Istvan ^{[1
]}

Tephnadze, Giorgi ^{[2
,3
]}

机构：

[1] Coll Nyiregyhaza, Inst Math & Comp Sci, H-4400 Nyiregyhaza, Hungary

[2] Tbilisi State Univ, Fac Exact & Nat Sci, Dept Math, GE-0128 Tbilisi, Georgia

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

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2014年 / 85卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Vilenkin system; Fejer means; martingale Hardy space; MAXIMAL OPERATORS; CESARO MEANS; RESPECT;

D O I：

10.5486/PMD.2014.5896

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As main result we prove strong convergence theorems of Vilenkin-Fejer means when 0 < p <= 1/2.

引用

页码：181 / 196

页数：16

共 26 条

[1]

Agaev G.N., 1981, Multiplicative Systems of Functions and Harmonic Analysis on Zero-Dimensional Groups

[2]

Blahota I., 2007, Colloq. Math, V107, P287, DOI DOI 10.4064/CM107-2-8

[3]

Blahota I., 2006, JIPAM J INEQUAL PURE, V7, P1

[4]

Blahota I., 1994, ACTA ACAD PAEDAGOGIC, VXXII, P109

[5] MAXIMAL INEQUALITY FOR H1-FUNCTIONS ON A GENERALIZED WALSH-PALEY GROUP [J].

FUJII, N .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 77 (01) :111-116

[6] Cesaro means of integrable functions with respect to unbounded Vilenkin systems [J].

Gát, G .

JOURNAL OF APPROXIMATION THEORY, 2003, 124 (01) :25-43

[7] INVESTIGATIONS OF CERTAIN OPERATORS WITH RESPECT TO THE VILENKIN SYSTEM [J].

GAT, G .

ACTA MATHEMATICA HUNGARICA, 1993, 61 (1-2) :131-149

[8] Maximal operators of Fejer means of double Walsh-Fourier series [J].

Goginava, U. .

ACTA MATHEMATICA HUNGARICA, 2007, 115 (04) :333-340

[9]

Goginava U, 2007, PUBL MATH-DEBRECEN, V71, P43

[10] ON THE MAXIMAL OPERATOR OF WALSH-KACZMARZ-FEJER MEANS [J].

Goginava, Ushangi ;

Nagy, Karoly .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (03) :673-686

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